Tim spends \(20\) minutes on math homework and then \(25\) minutes on language arts homework. How many minutes does Tim spend on homework altogether?

A small apple tree was planted in a garden in 2012. On the same date in 2024, the family checks how long it has been there. How many full years have passed?

How many days are there altogether in January, February, and March? Assume February has \(28\) days.

Find how many hours after noon each time occurs. a) \(5{:}00\) p.m. b) \(8{:}00\) p.m. c) \(10{:}00\) p.m. d) Midnight

The school bus leaves at \(3{:}10\) p.m. and arrives at \(3{:}25\) p.m. How many minutes is the ride?

A swimming lesson begins at \(9{:}50\) a.m. and ends at \(10{:}05\) a.m. How many minutes does it last?

A game starts at \(4{:}20\) p.m. and lasts \(25\) minutes. What time does it end?

Recess ends at \(11{:}35\) a.m. It lasted \(20\) minutes. When did it start?

These clocks show when music practice began and ended. How many minutes passed?

A movie starts at \(1{:}40\) p.m. and runs for \(50\) minutes. Which number tells *when* the movie starts? Which tells *how long* it runs?

Louis set his alarm for \(7{:}35\) a.m. When he woke up, it was \(6{:}23\) a.m. How many minutes were left until the alarm would ring?

Lucas takes a train to visit his grandparents. The train leaves at \(2{:}25\) p.m. and arrives at \(4{:}10\) p.m. How long is the train ride?

The table shows bus departure times and travel times. Find the arrival time for each route. <table> <tr><th>Bus route</th><th>Departure</th><th>Travel time</th></tr> <tr><td>Route A</td><td>\(9{:}10\) a.m.</td><td>\(50\,\text{min}\)</td></tr> <tr><td>Route B</td><td>\(11{:}30\) a.m.</td><td>\(1\,\text{hr}\ 15\,\text{min}\)</td></tr> <tr><td>Route C</td><td>\(3{:}45\) p.m.</td><td>\(40\,\text{min}\)</td></tr> </table>

Three children's programs air on Saturday afternoon. <table> <tr> <td>Program</td> <td>Start</td> <td>End</td> </tr> <tr> <td>Science</td> <td>\(2{:}15\) p.m.</td> <td>\(2{:}50\) p.m.</td> </tr> <tr> <td>Nature</td> <td>\(3{:}05\) p.m.</td> <td>\(3{:}45\) p.m.</td> </tr> <tr> <td>Sports</td> <td>\(4{:}20\) p.m.</td> <td>\(4{:}55\) p.m.</td> </tr> </table> Find the duration of each program in minutes. Which program is the longest?

An analog wall clock shows the numbers \(1\) through \(12\). During one full day, the hour hand travels around the clock face twice. a) How many hours pass during one full trip around the clock face? b) How many hours are in a full day? c) It is exactly \(7{:}00\) a.m. What time will it be after one full trip of the hour hand?

A class begins a nature field trip at \(8{:}35\,\text{a.m.}\) and returns to school at \(12{:}10\,\text{p.m.}\). How much time passes?

Lucas starts cleaning his room at \(3{:}35\) p.m. and finishes at \(4{:}15\) p.m. How many minutes does he spend cleaning?

Mrs. Meyer takes a train trip. The outbound ride lasts \(2\) hours \(15\) minutes, and the return ride lasts \(1\) hour \(35\) minutes. How long does she spend on the train altogether?

A hiking group starts at the base of a mountain at \(8{:}30\) a.m. and reaches the summit at \(2{:}15\) p.m. How long does the hike take?

Mrs. Miller begins work at \(8{:}15\) a.m. She works for \(4\) hours \(30\) minutes. At what time does her workday end?

A regional train leaves a station at \(9{:}55\) a.m. and arrives at \(12{:}15\) p.m. How long is the train ride? Give the answer in hours and minutes.

The Meyer family visits a zoo. They enter at \(10{:}10\) a.m. and leave at \(2{:}40\) p.m. How long are they at the zoo?

A large loaf of bread must bake for \(80\) minutes. Mrs. Smith puts it in the oven at \(11{:}45\) a.m. At what time should she take it out?

A movie at school begins at \(3{:}20\) p.m. and ends at \(5{:}05\) p.m. How long is the movie? Give the answer in hours and minutes.

Clock A shows \(11{:}15\) a.m. Clock B shows \(3{:}40\) p.m. How much time passes between the two times?

Emma goes to practice at \(4{:}45\) p.m. The practice lasts \(1\) hour \(50\) minutes. At what time does it end?

A hiking group starts at \(10{:}35\) a.m. and hikes for \(3\) hours \(45\) minutes. At what time does the hike end?

A school bus leaves a stop at \(2{:}52\) p.m. and arrives at school at \(3{:}17\) p.m. How many minutes does the ride take?

On a fall day, the sun rises at \(7{:}42\) a.m. The daylight lasts exactly \(9\,\text{hr}\,55\,\text{min}\). What time does the sun set?

It is \(4{:}00\) p.m. How many hours are left until midnight?

A bus leaves the station at \(8{:}15\) a.m. and reaches its last stop at \(9{:}40\) a.m. How long does the bus ride take?

Lucas begins a bike ride at \(1{:}50\,\text{p.m.}\) and reaches his destination at \(3{:}15\,\text{p.m.}\) How many minutes does the ride take?

A runner starts at \(10{:}45\) a.m. and crosses the finish line at \(11{:}02\) a.m. How long is the run?

Continue the time pattern shown on clocks 1 through 3. How much time passes between consecutive clocks? Give the times for the next two clocks.

How much time passes between the two clocks? Both times are in the morning on the same day.

Mia starts her homework in the afternoon at the time shown on clock a) and finishes at the time shown on clock b). How many minutes does she spend on her homework?

A cake must bake for exactly \(45\) minutes. The clock shows the afternoon time when the cake is put in the oven. What time should the cake be taken out?

The clock shows a time shortly before noon. How many minutes are left until \(12{:}00\) noon?

Paul has two clocks in his room. Clock A shows the correct time. Clock B is \(5\) minutes fast. What time does clock B show when clock A shows the time in the picture?

Find the elapsed time between clocks 1 and 2.

A workshop meets Monday from \(3{:}00\) p.m. to \(4{:}00\) p.m., Tuesday from \(2{:}30\) p.m. to \(3{:}30\) p.m., and Thursday from \(3{:}15\) p.m. to \(4{:}15\) p.m. a) How long is each meeting? b) How many hours of workshop time are scheduled altogether?

A science club meeting starts at \(4{:}35\) p.m. The number line measures minutes after \(4{:}00\) p.m. and shows the jumps used to find the ending time. What time does the meeting end?

A class arrives at a science museum at \(8{:}35\) a.m. and leaves at \(10{:}10\) a.m. How long is the visit? Give hours and minutes.

A student starts reading at \(3{:}42\) p.m. The number line uses minutes after \(3{:}00\) p.m. Find the reading end time.

Clock a) shows when a chess club begins. Clock b) shows when it ends. Did the club meet for less than or more than \(1\) hour? How many minutes longer or shorter?

Zoe says, “From \(5{:}50\) p.m. to \(6{:}25\) p.m. is \(75\) minutes because \(25+50=75\).” Is she correct? Find the time and explain the mistake.

A timer starts at \(7{:}25\) a.m. and runs for \(55\) minutes. Harper says it stops at \(8{:}20\) a.m. Check the answer by counting forward in two steps.

Leo is attending a summer math camp. The first class begins at \(9{:}45\,\text{a.m.}\). Each class period lasts \(45\) minutes, and there is a \(10\)-minute break between class periods. Lunch begins right after the fourth class period. What time does lunch begin?

Paul starts a mountain hike at \(10{:}15\) a.m. He hikes uphill for \(45\) minutes to an overlook, rests there for \(20\) minutes, and then hikes another \(50\) minutes to the summit. At what time does Paul reach the summit?

Lucas begins making a cake at \(2{:}40\) p.m. Mixing the ingredients takes \(15\) minutes. Then the batter rests for \(45\) minutes. Finally, the cake bakes for \(35\) minutes. At what time can Lucas take the finished cake out of the oven?

Emma and Jonah meet at the library at \(1{:}30\) p.m. to work on a report. They spend \(1\) hour \(15\) minutes finding information, take a \(25\)-minute break, and then spend \(55\) minutes writing. At what time do they finish their work?

The Miller family leaves home for a movie at \(4{:}10\) p.m. The movie begins at \(4{:}35\) p.m. and lasts exactly \(90\) minutes. a) How many minutes pass between leaving home and the start of the movie? b) How many minutes pass altogether between leaving home and the end of the movie?

Jonah begins a hike to a mountain lodge at \(9{:}45\) a.m. He hikes for \(50\) minutes, takes a \(15\)-minute break, and then hikes another \(30\) minutes to reach the lodge. a) How much time passes from the start of the hike until Jonah reaches the lodge? b) At what time does Jonah reach the lodge?

A soccer game, including halftime, lasts exactly \(105\) minutes. The game ends at \(5{:}20\,\text{p.m.}\). What time did the game begin?

An overnight train leaves a station at \(9{:}15\,\text{p.m.}\) and arrives at its destination at \(6{:}45\,\text{a.m.}\) the next morning. How long is the train trip?

A guided overnight hike begins at \(10{:}50\,\text{p.m.}\). The group returns to the starting point at \(3{:}15\,\text{a.m.}\) the next morning. How long does the hike last?

A summer camp runs from July 18 through August 3. How many days does the camp last? Count both the first day and the last day.

Lara says, “My trip from February 25 through March 10 lasts exactly \(14\) days.” The year is not a leap year. Use a calculation to decide whether Lara is correct.

Two buses travel from Chicago to Milwaukee. Bus A leaves at \(9{:}10\) a.m. and arrives at \(10{:}45\) a.m. Bus B leaves at \(11{:}45\) a.m. and arrives at \(1{:}15\) p.m. Which bus takes less time? What is the difference in minutes?

A ferry takes visitors to an island. The schedule shows three trips: <table> <tr> <td><strong>Trip</strong></td> <td><strong>Departure</strong></td> <td><strong>Arrival</strong></td> </tr> <tr> <td>Trip 1</td> <td>\(8{:}20\) a.m.</td> <td>\(9{:}05\) a.m.</td> </tr> <tr> <td>Trip 2</td> <td>\(10{:}45\) a.m.</td> <td>\(11{:}40\) a.m.</td> </tr> <tr> <td>Trip 3</td> <td>\(1{:}15\) p.m.</td> <td>\(2{:}05\) p.m.</td> </tr> </table> Find the duration of each trip. Which trip lasts the longest?

A family is planning a train trip from Boston to Providence. The schedule shows departure and arrival times. <table> <thead> <tr><th>Train</th><th>Departure from Boston</th><th>Arrival in Providence</th></tr> </thead> <tbody> <tr><td>Train A</td><td>\(9{:}15\) a.m.</td><td>\(10{:}25\) a.m.</td></tr> <tr><td>Train B</td><td>\(10{:}15\) a.m.</td><td>\(11{:}40\) a.m.</td></tr> <tr><td>Train C</td><td>\(11{:}15\) a.m.</td><td>\(12{:}25\) p.m.</td></tr> </tbody> </table> 1) How many minutes longer is the trip on Train B than the trip on Train A? 2) How long is the trip on Train C, in hours and minutes?

Lucas has two activities on Tuesday afternoon. Find each activity's duration, then compare them. <table> <tr> <td>Activity</td> <td>Start</td> <td>End</td> </tr> <tr> <td>Soccer practice</td> <td>\(4{:}15\) p.m.</td> <td>\(5{:}45\) p.m.</td> </tr> <tr> <td>Guitar lesson</td> <td>\(3{:}30\) p.m.</td> <td>\(4{:}15\) p.m.</td> </tr> </table> Which activity lasts longer? How many minutes longer is it?

Two buses travel from downtown to the zoo. The table shows their departure and arrival times. <table> <tr> <td>Bus</td> <td>Departure</td> <td>Arrival</td> </tr> <tr> <td>Route A</td> <td>\(9{:}15\) a.m.</td> <td>\(10{:}48\) a.m.</td> </tr> <tr> <td>Route B</td> <td>\(11{:}30\) a.m.</td> <td>\(1{:}05\) p.m.</td> </tr> </table> Find each travel time in minutes. Which bus takes more time?

A school fair begins at \(10{:}20\) a.m. and ends at \(4{:}15\) p.m. How many hours and minutes does the fair last?

Two trains travel between the same cities. The morning train leaves at \(7{:}12\) a.m. and arrives at \(11{:}48\) a.m. The afternoon train leaves at \(1{:}55\) p.m. and arrives at \(6{:}25\) p.m. Which train takes longer, and by how many minutes?

A movie begins at \(4{:}10\,\text{p.m.}\). Sarah wants to arrive \(20\) minutes early to meet her friends. It takes her \(15\) minutes to walk from home to the theater. What is the latest time Sarah can leave home?

The Miller family wants to arrive at their grandparents’ home by \(11{:}30\,\text{a.m.}\) on Sunday. The drive takes \(1\) hour \(20\) minutes, and loading the car takes \(15\) minutes. What is the latest time the family can begin loading the car?

Use the schedule for a sightseeing boat: <table> <tr> <td>Harbor Point</td> <td>departs</td> <td>\(9{:}20\,\text{a.m.}\)</td> </tr> <tr> <td>Bay Village</td> <td>arrives</td> <td>\(9{:}55\,\text{a.m.}\)</td> </tr> <tr> <td>Bay Village</td> <td>departs</td> <td>\(10{:}05\,\text{a.m.}\)</td> </tr> <tr> <td>Lighthouse Pier</td> <td>arrives</td> <td>\(11{:}15\,\text{a.m.}\)</td> </tr> </table> a) How many minutes does the boat spend traveling from Harbor Point to Bay Village? b) How much time passes from the departure at Harbor Point to the arrival at Lighthouse Pier? Give the answer in hours and minutes.

A boat makes two trips on the same day. <table><tr><th>Trip</th><th>Departure</th><th>Arrival</th></tr><tr><td>To Baytown</td><td>\(1{:}00\) p.m.</td><td>\(2{:}30\) p.m.</td></tr><tr><td>Back to River City</td><td>\(3{:}30\) p.m.</td><td>\(5{:}45\) p.m.</td></tr></table> a) Find the travel time for each trip. b) Which trip takes longer, and by how many minutes?

Migrating birds return in the spring. The table shows when storks arrive in two cities: <table> <tr> <th>City</th> <th>Arrival date</th> </tr> <tr> <td>Oakville</td> <td>March 28</td> </tr> <tr> <td>Lake City</td> <td>April 11</td> </tr> </table> How many weeks later do the storks arrive in Lake City than in Oakville?

A bakery accepts advance orders for special items. The table shows how many days each item takes to prepare: <table> <tr> <th>Item</th> <th>Preparation time</th> </tr> <tr> <td>Fruit tart</td> <td>\(2\) days</td> </tr> <tr> <td>Gift basket</td> <td>\(5\) days</td> </tr> <tr> <td>Wedding cake</td> <td>\(10\) days</td> </tr> <tr> <td>Chocolate assortment</td> <td>\(4\) days</td> </tr> </table> Ms. Smith orders all four items on April 26. On what date will each item be ready for pickup? April has \(30\) days.

The longest day of the year in a certain city has \(16\) hours of daylight. How many hours does the shortest night have? If the sun rises at \(5{:}00\) a.m. that day, at what time does it set?

In a far northern location, the longest summer day has \(19\) hours of daylight. A winter day there has \(14\) fewer hours of daylight than the summer day. How many hours of daylight are there on a winter day? How many hours does the night last on that winter day?

Mrs. Meyer works each day from \(8{:}00\) a.m. to \(12{:}00\) p.m. and again from \(2{:}00\) p.m. to \(5{:}00\) p.m. How many hours of the \(24\)-hour day is she not at work?

Lucas says, “I sleep from \(9{:}00\) p.m. to \(7{:}00\) a.m. That is almost half a day!” A full day has \(24\) hours. How many hours does Lucas actually sleep? How many more hours would he need to sleep for exactly half a day?

A woodworking shop has two work periods. The first begins at \(7{:}30\) a.m. and ends at \(12{:}00\) p.m. After lunch, the second begins at \(1{:}00\) p.m. and ends at \(4{:}30\) p.m. a) How long is the first work period? b) How long is the lunch break? c) How many hours of work are completed altogether?

A regional train leaves the station at \(9{:}25\,\text{a.m.}\). The trip lasts \(4\) hours \(50\) minutes. What time does the train arrive?

An author event at the public library begins at \(3{:}40\,\text{p.m.}\). The author reads for \(45\) minutes, there is a \(15\)-minute break, and then she answers questions for \(25\) minutes. What time does the event end?

A bus stop lists these departure times: Line A: \(7{:}45\) a.m. Line B: \(1{:}20\) p.m. Line C: \(8{:}05\) p.m. a) How much time passes from Line A's departure to Line B's departure? b) How much time passes from Line B's departure to Line C's departure? c) How much time passes from Line A's departure to Line C's departure?

Lucas looks at a digital clock. It is \(5{:}15\,\text{p.m.}\). a) What time will it be \(45\) minutes later? b) Lucas says, “I started my homework exactly \(3\) hours ago.” What time did he start? c) How much time passes from \(5{:}15\,\text{p.m.}\) to \(8{:}30\,\text{p.m.}\)?

Swimming Class A begins at \(2{:}20\,\text{p.m.}\) and ends at \(3{:}50\,\text{p.m.}\). Swimming Class B lasts exactly \(100\) minutes. Which class is longer, and by how many minutes?

A hiking group starts at \(10{:}15\,\text{a.m.}\) and reaches its destination at \(2{:}30\,\text{p.m.}\). The group takes a \(45\)-minute lunch break. How long does the group actually spend walking?

Two trains travel the same route. Train A leaves at \(8{:}45\,\text{a.m.}\) and arrives at \(11{:}20\,\text{a.m.}\). Train B leaves at \(1{:}55\,\text{p.m.}\) and arrives at \(4{:}15\,\text{p.m.}\). Which train takes less time, and what is the difference in minutes?

A chess tournament begins at \(1{:}30\,\text{p.m.}\). It has three rounds that each last \(45\) minutes. There is a \(15\)-minute break after the first round and another \(15\)-minute break after the second round. What time does the tournament end?

A gardener plants a flower seed on May 25. The seed sprouts exactly \(10\) days later. On what date will it sprout?

Two classes conduct science experiments. Class 3A starts an experiment on June 22, and it ends exactly \(12\) days later. Class 3B starts an experiment on June 26, and it ends exactly \(8\) days later. Find the ending date for each experiment. What do you notice?

Leo plants sunflower seeds on March 15. The directions say the first flowers will bloom exactly \(65\) days later. On what date will the sunflowers bloom?

Two children begin reading projects on May 25. Lucas plans to finish his book exactly \(50\) days later. Emma plans to finish her book on July 15. Who plans to finish first? Justify your answer with a calculation.

A circus performs in town every day from September 28 through October 6. On how many days are there performances altogether?

A class reading project ends on May 4, exactly \(2\) weeks after it began. On what date did the project begin?

Class 3B begins an art project on May 24. The project lasts \(12\) days, and May 24 is counted as the first project day. a) How many project days are in May? b) On what date does the project end?

A circus performs in town for \(18\) days. The last performance is on July 5. a) How many performance days are in July? b) On what date did the circus give its first performance?

An adventure trip began on August 28 and ended on October 12. How many days elapsed from the start of the trip to the end?

Two spring camps are held on different dates. The first camp runs from March 15 through April 20. The second camp runs from May 1 through June 5. Which camp lasts more days? Support your answer by comparing the numbers of days.

A soccer game begins at \(10{:}15\) a.m. The first half lasts \(45\) minutes, followed by a \(15\)-minute halftime break. At what time does the second half begin?

Lena puts a cake in the oven at \(3{:}50\) p.m. It must bake for \(55\) minutes and then cool for \(20\) minutes before she cuts it. At what time can Lena cut the cake?

A hiking group plans two stages. The first stage takes \(3\) hours \(20\) minutes. The second stage takes \(50\) minutes less than the first. How long does the second stage take?

A soccer game begins at \(3{:}30\) p.m. The first half lasts \(45\) minutes, halftime lasts \(15\) minutes, and the second half lasts another \(45\) minutes. At what time does the game end?

Lucas and Sarah meet at the library. Lucas arrives at \(2{:}45\) p.m. and stays for \(90\) minutes. Sarah arrives at \(3{:}15\) p.m. and reads for exactly \(1\) hour. Who leaves the library later? Justify your answer with calculations.

A field-trip bus leaves school at \(8{:}20\) a.m. The ride to the zoo takes \(1\) hour \(15\) minutes. After arriving, the students take a \(30\)-minute break before their tour begins. At what time does the tour begin?

Lisa reads from \(3{:}45\) p.m. to \(5{:}10\) p.m. Tom reads on the same day from \(4{:}20\) p.m. to \(6{:}00\) p.m. Who reads longer? Find the difference in minutes.

Lucas wants dinner to be ready at \(6{:}30\) p.m. Preparing the food takes \(25\) minutes, and baking it takes another \(45\) minutes. What is the latest time Lucas can begin preparing the food?

Two friends visit a swimming pool. Lucas arrives at \(2{:}10\) p.m. and leaves at \(4{:}35\) p.m. Marie arrives at \(2{:}45\) p.m. and leaves at \(5{:}20\) p.m. Who stays at the pool longer?

Lucas has a \(45\)-minute piano lesson that ends at \(4{:}15\) p.m. It takes him exactly \(15\) minutes to travel from home to the music school. At what time must Lucas leave home to arrive when the lesson begins?

A city bus leaves the station at \(1{:}45\) p.m. It travels through three sections of its route: - The first section takes \(8\) minutes. - The second section takes \(12\) minutes. - The final section takes \(6\) minutes. At what time does the bus reach the end of the route?

A baker takes finished loaves out of the oven at \(11{:}15\) a.m. The loaves baked for exactly \(1\) hour \(50\) minutes. At what time did the baker put them in the oven?

Lisa and Tom have a reading challenge. Lisa begins at \(2{:}30\) p.m. and reads for exactly \(45\) minutes. Tom begins at \(2{:}45\) p.m. and stops at \(3{:}40\) p.m. Who reads longer? What is the difference in minutes?

Find how many hours and minutes have elapsed since midnight at each time: a) \(8{:}40\) a.m. b) \(2{:}15\) p.m. c) \(9{:}05\) p.m.

A cake bakes for exactly \(55\) minutes. It is taken out of the oven at \(2{:}10\) p.m. At what time was it put in the oven?

A baker puts bread in the oven at \(3{:}50\) a.m. The bread bakes for \(55\) minutes and then cools for \(2\) hours \(15\) minutes before it can be sold. At what time is the bread ready to sell?

A family begins a bike trip at \(10{:}30\) a.m. The first part takes \(1\) hour \(45\) minutes. Then the family takes a \(30\)-minute break. The final part takes \(1\) hour \(10\) minutes. How long is the outing, including the break? At what time does the family arrive?

A researcher studies the history of two ships. The “Sunbeam” was in service from the beginning of 1925 to the beginning of 1958. The “Sea Breeze” was in service from the beginning of 1932 to the beginning of 1961. Which ship was in service longer?

A hiker starts a trail at \(9{:}45\) a.m. The planned hiking time is \(3\) hours \(15\) minutes. During the hike, the hiker also takes an extra \(25\)-minute picnic break. a) What time would the hiker arrive without the extra break? b) What time does the hiker actually arrive? c) Suppose the hiker started at \(10{:}00\) a.m. but skipped the break. Would the hiker arrive earlier or later than in part b)? Explain.

A bus stop lists these afternoon departure times: Route A: \(1{:}55\) p.m. Route B: \(3{:}10\) p.m. Route C: \(5{:}05\) p.m. a) How many minutes are there between the departures of Route A and Route B? b) A passenger arrives at \(4{:}40\) p.m. How many minutes must the passenger wait for Route C? c) Route B is running \(18\) minutes late today. What time will it actually leave?

A young apple tree is planted in a school garden on March 15. The gardener says the tree should receive its first fertilizer exactly 5 months and 12 days later. On what date should the tree be fertilized?

Three children trained for a city race. - Mia trained from \(3{:}55\) p.m. to \(5{:}15\) p.m. - Liam trained from \(4{:}10\) p.m. to \(5{:}28\) p.m. - Sofia trained from \(4{:}05\) p.m. to \(5{:}22\) p.m. Find each training time in minutes. Then list the children from shortest training time to longest.

A movie starts at \(3{:}45\) p.m. and ends at \(6{:}20\) p.m. There is a \(15\)-minute intermission. What is the movie's running time, not including the intermission?

An overnight train leaves at \(11{:}20\) p.m. and is scheduled to arrive the next morning at \(6{:}40\) a.m. a) How long is the train trip? b) Construction delays the train by \(25\) minutes. What time does it arrive?

Roadwork on School Street begins on April 14 and ends on May 22. Both the first day and the last day count. How many days does the roadwork last?

Liam and Sarah compare the lengths of their summer jobs. Liam works from July 26 through August 12. Sarah works from June 18 through July 5. For each job, count both the first and last day. Who works more days?

A beginner sailing course lasts exactly \(24\) days and begins on July 15. The starting day counts as Day 1. What is the last day of the course?

Mia's swim practice starts in the pool at \(3{:}30\,\text{p.m.}\) and lasts \(90\) minutes. She must arrive at the pool \(15\) minutes before practice to change. After practice, she needs another \(20\) minutes to shower and dry her hair. a) What is the latest time Mia can arrive at the pool? b) What time will Mia be ready to leave the pool?

At \(3{:}00\) p.m., someone says, “More than half of the day has already passed.” Is the statement correct? Explain by finding how many hours are in half a day and how many hours have passed since midnight.

A movie begins at \(8{:}15\) p.m. 1) How much time has passed since noon? 2) How much time remains from the start of the movie until midnight?

A trail sign says a hike to a mountain lodge takes \(2\) hours \(45\) minutes. The Miller family starts at \(10{:}15\) a.m. and arrives at \(12{:}40\) p.m. How much faster did the family finish than the time shown on the sign?

A movie is scheduled to last \(1\) hour \(50\) minutes. It begins at \(3{:}30\) p.m., but a technical problem stops the movie at \(5{:}10\) p.m. How many minutes of the movie were not shown?

A hiking group starts a loop trail at \(8{:}30\) a.m. The first trail section takes \(65\) minutes, the second takes \(45\) minutes, and the final section takes \(70\) minutes. Between the second and final sections, the group takes a \(30\)-minute break. What time does the group return to its starting point?

Clocks a) and b) show two times on the same morning. Find the elapsed time between them.

Lucas starts his homework at \(2{:}45\,\text{p.m.}\) He works for \(50\) minutes, takes a \(15\)-minute break, and then studies for another \(35\) minutes. What time does he finish?

An overnight train leaves at \(9{:}35\) p.m. and arrives the next morning at \(6{:}12\) a.m. How long is the trip?

Look at the time shown on the clock. a) What time was it exactly \(25\) minutes earlier? b) What time will it be \(45\) minutes later?

A cake must bake for exactly \(45\) minutes. Ms. Miller takes the finished cake out of the oven at \(4{:}10\) p.m. What time did she put it in the oven?

At a movie theater, the previews begin at \(3{:}30\,\text{p.m.}\) and last \(15\) minutes. The movie that follows is \(102\) minutes long. What time does the entire showing end?

A hiking group starts at \(8{:}20\) a.m. and reaches its destination at \(5{:}05\) p.m. The group takes three \(20\)-minute breaks. How long is the group actually walking?

Lisa starts reading in the morning at the time shown on clock a) and stops at the time shown on clock b). How long does she read?

Tim's soccer practice starts at \(3{:}30\) p.m. The clock shows when practice ends. How many minutes does practice last?

A movie showing begins at \(5{:}30\,\text{p.m.}\) The previews last \(15\) minutes, and the movie lasts \(105\) minutes. What time does the entire showing end?

Read the time on each clock. How many minutes pass from clock a) to clock b)? Both times are in the same afternoon.

Clock a) shows a time just before noon. Clock b) shows a later time on the same day. How many minutes pass between the two times?

The clock shows the current time in the afternoon. What time was it exactly \(1\) hour \(25\) minutes earlier?

The clock at a parking garage shows the morning time when you enter. You leave your car there for exactly \(4\) hours \(50\) minutes. What time do you leave the garage?

The clocks show three times in order during the same day. Find the elapsed time from clock A to clock B and from clock B to clock C.

Look at the two clocks. Both times are in the afternoon. How much time passes from clock a) to clock b)? Give the answer in hours and minutes.

The clock shows the afternoon starting time of a soccer practice. Practice ends at \(5{:}15\) p.m. How many minutes does practice last?

The clock shows the current morning time. Lunch begins in exactly \(25\) minutes. What time will lunch begin? Write the time digitally.

Tim's afternoon soccer practice starts at the time shown on clock a) and ends at the time shown on clock b). How many minutes does practice last?

The clock shows when a bus leaves a bus stop in the morning. The ride to the train station takes exactly \(55\) minutes. What time does the bus arrive?

A charter bus leaves in the evening at the time shown on the clock. The trip lasts \(8\) hours \(50\) minutes. What time does the bus arrive the next morning?

A concert ends in the evening at the time shown on the clock. The concert, including intermission, lasts \(2\) hours \(45\) minutes. What time did the concert begin?

Students work on two assignments in a row. Clock a) shows when they begin, clock b) shows when they finish the first assignment, and clock c) shows when they finish the second assignment. How many minutes do they spend on the second assignment?

Lucas reads a book in the afternoon. Clock a) shows when he starts, and clock b) shows when he stops. During that time, he takes a \(15\)-minute break. How long does Lucas actually spend reading? Give your answer in hours and minutes.

Clocks a) and b) show when an art club started and ended on the same afternoon. How long did the art club last?

The clock shows when an evening science club meeting began. The meeting lasted \(45\) minutes. What time did it end?

The clock shows when a bus arrived at a museum in the morning. The bus left \(35\) minutes later. What time did the bus leave?

Clocks a) and b) show when a library program began and ended on the same morning. How long did the program last?

The clock shows when an afternoon game began. The game lasted \(25\) minutes. What time did it end?

The clock shows when an evening music lesson began. The lesson lasted \(50\) minutes. What time did it end?

Clocks a) and b) show when a breakfast club began and ended on the same morning. How long did the club last?

The number line shows when a library program started and ended. Its values are minutes after \(6{:}00\) p.m. What was the starting clock time?

Two students use different jumps on number lines to show time passing. Each number-line value is minutes after \(2{:}00\) p.m. Do both ways show the same length of time? Give the start time, end time, and elapsed minutes.

Art club starts at \(3{:}15\) p.m. It meets for \(35\) minutes, takes a \(10\)-minute break, and meets for \(25\) more minutes. Robotics club starts at \(3{:}00\) p.m. It meets for \(45\) minutes, takes a \(15\)-minute break, and meets for \(20\) more minutes. Which club finishes first, and by how many minutes?

A class is planning a hike and must return to school by \(3{:}15\) p.m. The hike to a meadow takes \(1\) hour \(10\) minutes. The class rests for \(40\) minutes, and the return hike takes \(55\) minutes. What is the latest time the class can leave school?

The Rivera family is comparing two ways to travel from Philadelphia to Washington, D.C.: 1. By car: Leave at \(9{:}15\,\text{a.m.}\) and arrive at \(12{:}40\,\text{p.m.}\). 2. By train: Leave at \(10{:}05\,\text{a.m.}\) and arrive at \(12{:}12\,\text{p.m.}\). How much travel time would the family save by taking the train instead of driving?

Lucas wants to take a train from Philadelphia to Baltimore to visit a museum. The museum opens at \(11{:}00\) a.m., and the walk from the Baltimore station to the museum takes \(15\) minutes. <table> <thead> <tr><th>Train</th><th>Departure from Philadelphia</th><th>Arrival in Baltimore</th></tr> </thead> <tbody> <tr><td>1</td><td>\(8{:}20\) a.m.</td><td>\(9{:}35\) a.m.</td></tr> <tr><td>2</td><td>\(9{:}20\) a.m.</td><td>\(10{:}45\) a.m.</td></tr> <tr><td>3</td><td>\(10{:}20\) a.m.</td><td>\(11{:}38\) a.m.</td></tr> </tbody> </table> Which train lets Lucas leave as late as possible and still reach the museum when it opens? How long is that train ride?

Sarah and Tom plan to meet at Chicago Union Station. Sarah is traveling from Milwaukee, and Tom is traveling from South Bend. They want to arrive as close to the same time as possible. <table> <thead> <tr><th colspan="2">Milwaukee to Chicago</th><th colspan="2">South Bend to Chicago</th></tr> <tr><th>Departure</th><th>Arrival</th><th>Departure</th><th>Arrival</th></tr> </thead> <tbody> <tr><td>\(8{:}06\) a.m.</td><td>\(9{:}10\) a.m.</td><td>\(8{:}25\) a.m.</td><td>\(9{:}22\) a.m.</td></tr> <tr><td>\(9{:}06\) a.m.</td><td>\(10{:}05\) a.m.</td><td>\(9{:}25\) a.m.</td><td>\(10{:}12\) a.m.</td></tr> <tr><td>\(10{:}06\) a.m.</td><td>\(11{:}12\) a.m.</td><td>\(10{:}25\) a.m.</td><td>\(11{:}15\) a.m.</td></tr> </tbody> </table> Choose one train for each person so that the difference between their arrival times is as small as possible. When does each train arrive, and what is the difference in minutes?

An observatory records the night sky from \(10{:}35\,\text{p.m.}\) until \(4{:}15\,\text{a.m.}\) the next morning. Clouds force the camera to stop recording for \(50\) minutes. For how long does the camera actually record the sky?

Tim plans to visit a friend by train. He can choose from these trains: <table> <thead> <tr> <th>Train</th> <th>Departure</th> <th>Arrival</th> </tr> </thead> <tbody> <tr> <td>Train 5</td> <td>\(7{:}12\,\text{a.m.}\)</td> <td>\(7{:}58\,\text{a.m.}\)</td> </tr> <tr> <td>Train 7</td> <td>\(8{:}12\,\text{a.m.}\)</td> <td>\(8{:}58\,\text{a.m.}\)</td> </tr> </tbody> </table> Tim must arrive by \(9{:}10\,\text{a.m.}\). It takes him \(18\) minutes to walk from home to the departure station. What is the latest time he can leave home and still catch the appropriate train?

Two boat lines travel from Harbor City to the lighthouse. <table> <thead> <tr> <th>Stop</th> <th>Line A</th> <th>Line B</th> </tr> </thead> <tbody> <tr> <td>Harbor City, departs</td> <td>\(8{:}15\,\text{a.m.}\)</td> <td>\(9{:}00\,\text{a.m.}\)</td> </tr> <tr> <td>Island View, departs</td> <td>\(8{:}45\,\text{a.m.}\)</td> <td>\(9{:}30\,\text{a.m.}\)</td> </tr> <tr> <td>Lighthouse, arrives</td> <td>\(9{:}25\,\text{a.m.}\)</td> <td>\(10{:}10\,\text{a.m.}\)</td> </tr> </tbody> </table> a) How long does Line A take from Harbor City to the lighthouse? b) Mr. Miller must arrive at the lighthouse by \(10{:}00\,\text{a.m.}\). Which line should he take? c) How many minutes apart are the two arrival times at the lighthouse?

Four elementary school groups go on a field-day hike. The table shows when each group leaves the school and reaches the destination: <table> <tr><th>Group</th><th>Departure</th><th>Arrival</th></tr> <tr><td>Group A</td><td>\(8{:}10\,\text{a.m.}\)</td><td>\(12{:}45\,\text{p.m.}\)</td></tr> <tr><td>Group B</td><td>\(8{:}25\,\text{a.m.}\)</td><td>\(1{:}05\,\text{p.m.}\)</td></tr> <tr><td>Group C</td><td>\(8{:}40\,\text{a.m.}\)</td><td>\(1{:}15\,\text{p.m.}\)</td></tr> <tr><td>Group D</td><td>\(8{:}55\,\text{a.m.}\)</td><td>\(1{:}35\,\text{p.m.}\)</td></tr> </table> a) Which group leaves latest? b) Which group arrives first? c) Find each group’s hiking time in hours and minutes.

Lucas plants bean seeds on May 18. His garden journal gives these time ranges for each stage of growth: <table> <tr> <th>Event</th> <th>Time after planting</th> </tr> <tr> <td>Sprouting</td> <td>\(4\) to \(6\) days</td> </tr> <tr> <td>First leaf</td> <td>\(10\) to \(14\) days</td> </tr> <tr> <td>First flower</td> <td>\(20\) to \(25\) days</td> </tr> </table> Find the date range when Lucas can expect each event. May has \(31\) days.

An overnight train leaves at \(9{:}45\,\text{p.m.}\) and arrives at \(6{:}15\,\text{a.m.}\) the next morning. The scheduled travel time is exactly \(8\) hours. How many minutes longer is the actual trip than the scheduled trip?

Use \(10\) hours of sleep as a comparison value. Lucas goes to sleep at \(8{:}30\,\text{p.m.}\) and wakes at \(7{:}15\,\text{a.m.}\). Maria goes to sleep at \(9{:}15\,\text{p.m.}\) and wakes at \(6{:}45\,\text{a.m.}\). Who sleeps longer than \(10\) hours, and who sleeps less? Find each difference in minutes.

Mr. Smith works at a bakery and must arrive at \(3{:}15\,\text{a.m.}\). He wants exactly \(7\) hours \(30\) minutes of sleep. After waking up, he needs \(45\) minutes to get ready and drive to work. What is the latest time he can go to bed the night before?

An overnight train arrives at \(7{:}15\,\text{a.m.}\). The trip lasts \(8\) hours \(45\) minutes. What time did the train leave the previous evening?

An adventure camp lasts exactly \(100\) days. It begins on September 1, and September 1 is Day \(1\). a) In which month does the camp end? b) How many camp days occur in October? c) What is the date of the final camp day?

A movie ends at \(4{:}10\) p.m. The movie itself lasts \(95\) minutes. Before it begins, advertisements play for exactly \(15\) minutes. At what time do the advertisements begin?

Complete the missing times and durations in the TV schedule. <table> <tr> <td>Program</td> <td>Start</td> <td>End</td> <td>Duration</td> </tr> <tr> <td>Nature Wonders</td> <td>\(10{:}35\) a.m.</td> <td>\(11{:}20\) a.m.</td> <td></td> </tr> <tr> <td>Cartoons</td> <td></td> <td>\(1{:}15\) p.m.</td> <td>\(45\,\text{min}\)</td> </tr> <tr> <td>Sports</td> <td>\(2{:}50\) p.m.</td> <td></td> <td>\(2\,\text{hr}\,15\,\text{min}\)</td> </tr> <tr> <td>Late Movie</td> <td>\(10{:}45\) p.m.</td> <td>\(12{:}30\) a.m.</td> <td></td> </tr> </table>

Find the missing information for each commuter train trip. a) Train 1 leaves at \(7{:}42\) a.m. and arrives at \(9{:}15\) a.m. How long is the trip? b) Train 2 takes \(2\,\text{hr}\,8\,\text{min}\) and arrives at \(12{:}03\) p.m. What time did it leave? c) Train 3 leaves at \(11{:}18\) p.m. The trip takes \(1\,\text{hr}\,55\,\text{min}\). What time does it arrive?

A hiking group starts a trip at \(8{:}35\) a.m. and reaches its destination at \(2{:}15\) p.m. The group takes two breaks: one from \(10{:}20\) a.m. to \(10{:}55\) a.m. and another from \(12{:}30\) p.m. to \(1{:}05\) p.m. How long was the group moving?

Lena compares two workout times. On Monday, she works out from \(4{:}15\) p.m. to \(6{:}40\) p.m. and takes a \(20\)-minute break. On Wednesday, she works out from \(3{:}50\) p.m. to \(6{:}10\) p.m. without a break. On which day is her actual workout time longer? Find the difference in minutes.

Compare the daylight on two days. - Day A: sunrise at \(5{:}28\) a.m. and sunset at \(8{:}45\) p.m. - Day B: sunrise at \(7{:}52\) a.m. and sunset at \(4{:}15\) p.m. How much longer is the daylight on Day A? Give the difference in hours and minutes.

Maya keeps track of the daylight hours on two days. - Day 1: Sunrise is at \(6{:}15\) a.m. and sunset at \(7{:}27\) p.m. - Day 2: Sunrise is at \(7{:}05\) a.m. and sunset at \(6{:}50\) p.m. What is the total daylight time across both days? Give hours and minutes.

The table shows three train trips from Central Station to Riverside Station. <table> <tr> <td>Train</td> <td>Leaves Central Station</td> <td>Intermediate stop</td> <td>Arrives at Riverside Station</td> </tr> <tr> <td>Express 173</td> <td>\(8{:}26\) a.m.</td> <td>Lakeview at \(10{:}18\) a.m.</td> <td>\(10{:}25\) a.m.</td> </tr> <tr> <td>Regional 24</td> <td>\(8{:}55\) a.m.</td> <td>Cedar Junction at \(10{:}20\) a.m.</td> <td>\(11{:}45\) a.m.</td> </tr> <tr> <td>Express 1591</td> <td>\(9{:}16\) a.m.</td> <td>None</td> <td>\(11{:}07\) a.m.</td> </tr> </table> a) Which trip has the shortest travel time from Central Station to Riverside Station, and how long is it? b) How long does Regional 24 take from Cedar Junction to Riverside Station?

Liam plans to practice basketball for exactly \(12\) hours this week. His times from Monday through Thursday are shown below. <table> <tr> <th>Day</th> <th>Start</th> <th>End</th> </tr> <tr> <td>Monday</td> <td>\(4{:}15\) p.m.</td> <td>\(6{:}45\) p.m.</td> </tr> <tr> <td>Tuesday</td> <td>\(5{:}00\) p.m.</td> <td>\(7{:}15\) p.m.</td> </tr> <tr> <td>Wednesday</td> <td>\(3{:}45\) p.m.</td> <td>\(6{:}30\) p.m.</td> </tr> <tr> <td>Thursday</td> <td>\(4{:}30\) p.m.</td> <td>\(7{:}00\) p.m.</td> </tr> </table> On Friday, Liam starts at \(3{:}30\) p.m. What time must he finish to reach exactly \(12\) hours?

Maya takes the bus from Oakville to a five-day art camp in Riverton. Morning bus: leaves Oakville at \(7{:}12\) a.m. and arrives in Riverton at \(7{:}58\) a.m. Afternoon bus: leaves Riverton at \(4{:}35\) p.m. and arrives in Oakville at \(5{:}19\) p.m. a) Find the travel time for each trip. b) How much total time does Maya spend on the bus during the \(5\)-day camp? Give the answer in hours and minutes. c) How long is Maya in Riverton on one camp day?

Liam attends a full-day school. His schedule is: - Leaves home: \(7{:}35\) a.m. - School begins: \(8{:}10\) a.m. - School ends: \(3{:}45\) p.m. - Arrives home: \(4{:}25\) p.m. a) How long is Liam away from home each day? b) How much time does he spend traveling to and from school each day? c) How long is Liam at school on one school day, including breaks?

An express train leaves Harbor City at \(9{:}12\) a.m. and arrives in Pine Valley at \(10{:}05\) a.m. The train stops there for \(4\) minutes. The trip from Pine Valley to Summit City then takes \(58\) minutes. a) How long is the trip from Harbor City to Pine Valley? b) What time does the train arrive in Summit City? c) A passenger claims, “The total time from leaving Harbor City to arriving in Summit City is exactly two hours.” Is the claim correct? Show why.

A bicycle group starts at the town square at \(10{:}15\) a.m. It rides \(45\) minutes to a lookout point, stops there for \(1\,\text{hr}\,15\,\text{min}\), rides \(35\) minutes to a park cafe, stops for lunch for \(40\) minutes, and then rides \(55\) minutes back to the town square. What time does the group return?

Lucas and Maria meet at a lookout tower. Lucas leaves home at \(2{:}15\) p.m. and takes \(50\) minutes to get there. Maria leaves later, takes only \(30\) minutes, and arrives at the same time as Lucas. They stay at the tower for \(20\) minutes. Then they travel together to Lucas's home. The return trip takes \(10\) minutes less than Lucas's trip to the tower. a) What time did Maria leave home? b) What time do they arrive at Lucas's home?

Anna and Ben spent Saturday at a swimming pool. Clocks a) and c) show when Anna arrived and left. Clocks b) and d) show when Ben arrived and left. Who spent more time at the pool?

Nora goes to a five-day science camp. The camp plans \(35\) hours of class time for the week. Lunch lasts \(30\) minutes each day and does not count as class time. The Monday through Thursday times are below. <table> <tr><th>Day</th><th>Start</th><th>End</th></tr> <tr><td>Monday</td><td>\(8{:}00\) a.m.</td><td>\(4{:}00\) p.m.</td></tr> <tr><td>Tuesday</td><td>\(8{:}30\) a.m.</td><td>\(3{:}30\) p.m.</td></tr> <tr><td>Wednesday</td><td>\(7{:}45\) a.m.</td><td>\(4{:}15\) p.m.</td></tr> <tr><td>Thursday</td><td>\(9{:}00\) a.m.</td><td>\(3{:}30\) p.m.</td></tr> </table> On Friday, class starts at \(8{:}00\) a.m. Lunch is again \(30\) minutes. What time should class end so the week has exactly \(35\) hours of class time?