Websink Prep UKKS2 MathsYear 4 chaptersMaths textbooksYear 1Year 2Year 4Year 5Year 6GCSEBrowse allPast papersFind a tutorBecome a tutor
Primary Maths · Year 4Chapter 8 · Time
Year 4 · Telling the Time and the 24-Hour Clock · Lesson 8.6

Year 4: How long does it take? Durations, start times and end times

Part of the Year 4 telling the time and the 24-hour clock chapter. Chapter overview · whole chapter on one page · Download worksheet (PDF) · Answers (PDF)

Download worksheet (PDF)Answers (PDF)
8.6

How long does it take? Durations, start times and end times

Year 4
Calculate durations of time, Find start times and end times, Across noon and midnight

The duration of something is how long it takes. To find a duration, we do not take one time away from the other like in a normal subtraction, because there are 60 minutes in an hour. We count on instead, on a number line.

Three easy jumps. Start at the start time.

  1. Jump to the next o’clock.
  2. Jump along in whole hours until you reach the hour of the end time.
  3. Jump the last minutes to the end time.
3:404:006:006:15+20 min+2 h+15 min
From 3:40 to 6:15: 20 minutes to the next o’clock, then 2 hours, then 15 minutes. Total: 2 hours and 20 + 15 = 35 minutes, which is 2 hours 35 minutes.

Add the jumps. Add the hours, then add the minutes. If the minutes come to 60 or more, change 60 minutes into 1 hour.

Finding an end time. If a film starts at 2:25 pm and lasts 1 hour 50 minutes, add the whole hours first (2:25 + 1 hour = 3:25), then count on the minutes through the next o’clock: 3:25 + 35 minutes = 4:00, then 4:00 + 15 minutes = 4:15 pm.

Finding a start time. Count back from the end time. Take away the whole hours first, then the minutes, going back to the o’clock on the way.

Across noon or midnight. The same method works. Count on to 12:00 (noon or midnight), then carry on. The 24-hour clock makes this easier: 22:30 to 06:15 is 22:30 → 24:00 (1 hour 30 minutes) and 00:00 → 06:15 (6 hours 15 minutes).

10:30 pmmidnight6:15 am+1 h 30 min+6 h 15 min
10:30 pm to 6:15 am. Count on to midnight, then on to 6:15 am. 1 h 30 min + 6 h 15 min = 7 h 45 min.

Key ideas

  • Duration = how long something takes. To find it, count on: to the next o’clock, then whole hours, then the last minutes.
  • There are 60 minutes in an hour. 3:50 to 4:20 is 30 minutes (10 + 20), not 70.
  • End time = start time + duration. Add the whole hours first, then the minutes.
  • Start time = end time − duration. Count back the whole hours first, then the minutes.
  • Across noon or midnight, count on to 12:00 and then carry on. Pay attention to am and pm.
  • Check by counting: start + duration should give the end time.
Worked example 8.6.1
A swimming lesson starts at 3:10 pm and finishes at 3:45 pm. How long is the lesson?

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Count on from the start to the end on a number line: first to the next o'clock, then in whole hours, then the last minutes. Then add the jumps.

  1. Draw a number line and count on from the start time to the end time. Counting on in easy jumps (first to the next o'clock, then whole hours, then the last minutes) is easier than taking one time away from the other.
    3:10 pm3:45 pm+35 min
  2. Work out each jump. Each jump is easy to do in your head.
    3:10 pm to 3:45 pm: 45 − 10 = 35 minutes
  3. Add the jumps. Add the hours together, then add the minutes together. If the minutes reach 60 or more, change 60 minutes into 1 hour.
    Minutes: 35
    Total: 35 minutes

Check. Count on from the start: 3:10 pm + 35 minutes = 3:45 pm. ✓

Watch out. There are 60 minutes in an hour, not 100. 3:50 to 4:20 is 30 minutes, not 70.

Worked example 8.6.2
Mei starts reading at 4:40 pm and stops at 5:25 pm. How long does she read for?

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Count on from the start to the end on a number line: first to the next o'clock, then in whole hours, then the last minutes. Then add the jumps.

  1. Draw a number line and count on from the start time to the end time. Counting on in easy jumps (first to the next o'clock, then whole hours, then the last minutes) is easier than taking one time away from the other.
    4:40 pm5:00 pm5:25 pm+20 min+25 min
  2. Work out each jump. Each jump is easy to do in your head.
    4:40 pm to 5:00 pm: 20 minutes to the next o'clock
    60 − 40 = 20 minutes
    5:00 pm to 5:25 pm: the minutes after the o'clock: 25 minutes
  3. Add the jumps. Add the hours together, then add the minutes together. If the minutes reach 60 or more, change 60 minutes into 1 hour.
    Minutes: 20 + 25 = 45
    Total: 45 minutes

Check. Count on from the start: 4:40 pm + 45 minutes = 5:25 pm. ✓

Watch out. There are 60 minutes in an hour, not 100. 3:50 to 4:20 is 30 minutes, not 70.

Worked example 8.6.3
A coach leaves at 9:20 am and arrives at 12:05 pm. How long is the journey?

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Count on from the start to the end on a number line: first to the next o'clock, then in whole hours, then the last minutes. Then add the jumps.

  1. Draw a number line and count on from the start time to the end time. Counting on in easy jumps (first to the next o'clock, then whole hours, then the last minutes) is easier than taking one time away from the other.
    9:20 am10:00 amnoon12:05 pm+40 min+2 h+5 min
  2. Work out each jump. Each jump is easy to do in your head.
    9:20 am to 10:00 am: 40 minutes to the next o'clock
    60 − 20 = 40 minutes
    10:00 am to 12:00 pm: whole hours: 2 hours
    12:00 pm to 12:05 pm: the minutes after the o'clock: 5 minutes
  3. Add the jumps. Add the hours together, then add the minutes together. If the minutes reach 60 or more, change 60 minutes into 1 hour.
    Hours: 2 hours
    Minutes: 40 + 5 = 45
    Total: 2 hours 45 minutes

Check. Count on from the start: 9:20 am + 2 hours 45 minutes = 12:05 pm. ✓

Watch out. There are 60 minutes in an hour, not 100. 3:50 to 4:20 is 30 minutes, not 70.

Worked example 8.6.4
The clocks show when a football match starts and finishes. How long is the match?
123456789101112start123456789101112end

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Count on from the start to the end on a number line: first to the next o'clock, then in whole hours, then the last minutes. Then add the jumps.

  1. Read the first clock. This is the start time.
    The first clock shows 2:20 (twenty past two).
  2. Read the second clock. This is the end time.
    The second clock shows 4:05 (five past four).
  3. Draw a number line and count on from the start time to the end time. Counting on in easy jumps (first to the next o'clock, then whole hours, then the last minutes) is easier than taking one time away from the other.
    2:203:004:004:05+40 min+1 h+5 min
  4. Work out each jump. Each jump is easy to do in your head.
    2:20 to 3:00: 40 minutes to the next o'clock
    60 − 20 = 40 minutes
    3:00 to 4:00: whole hours: 1 hour
    4:00 to 4:05: the minutes after the o'clock: 5 minutes
  5. Add the jumps. Add the hours together, then add the minutes together. If the minutes reach 60 or more, change 60 minutes into 1 hour.
    Hours: 1 hour
    Minutes: 40 + 5 = 45
    Total: 1 hour 45 minutes

Check. Count on from the start: 2:20 + 1 hour 45 minutes = 4:05. ✓

Watch out. There are 60 minutes in an hour, not 100. 3:50 to 4:20 is 30 minutes, not 70.

Worked example 8.6.5
A train leaves at 14:35 and arrives at 17:10. How long is the journey?

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Count on from the start to the end on a number line: first to the next o'clock, then in whole hours, then the last minutes. Then add the jumps.

  1. Draw a number line and count on from the start time to the end time. Counting on in easy jumps (first to the next o'clock, then whole hours, then the last minutes) is easier than taking one time away from the other.
    14:3515:0017:0017:10+25 min+2 h+10 min
  2. Work out each jump. Each jump is easy to do in your head.
    14:35 to 15:00: 25 minutes to the next o'clock
    60 − 35 = 25 minutes
    15:00 to 17:00: whole hours: 2 hours
    17:00 to 17:10: the minutes after the o'clock: 10 minutes
  3. Add the jumps. Add the hours together, then add the minutes together. If the minutes reach 60 or more, change 60 minutes into 1 hour.
    Hours: 2 hours
    Minutes: 25 + 10 = 35
    Total: 2 hours 35 minutes

Check. Count on from the start: 14:35 + 2 hours 35 minutes = 17:10. ✓

Watch out. There are 60 minutes in an hour, not 100. 3:50 to 4:20 is 30 minutes, not 70.

Worked example 8.6.6
Priya goes to sleep at 10:30 pm and wakes up at 6:15 am. How long does she sleep for?

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Count on from the start to the end on a number line: first to the next o'clock, then in whole hours, then the last minutes. Then add the jumps.

  1. Draw a number line and count on from the start time to the end time. Counting on in easy jumps (first to the next o'clock, then whole hours, then the last minutes) is easier than taking one time away from the other.
    10:30 pm11:00 pm6:00 am6:15 am+30 min+7 h+15 min
  2. Work out each jump. Each jump is easy to do in your head.
    10:30 pm to 11:00 pm: 30 minutes to the next o'clock
    60 − 30 = 30 minutes
    11:00 pm to 6:00 am: whole hours: 7 hours
    6:00 am to 6:15 am: the minutes after the o'clock: 15 minutes
  3. Add the jumps. Add the hours together, then add the minutes together. If the minutes reach 60 or more, change 60 minutes into 1 hour.
    Hours: 7 hours
    Minutes: 30 + 15 = 45
    Total: 7 hours 45 minutes

Check. Count on from the start: 10:30 pm + 7 hours 45 minutes = 6:15 am. ✓

Watch out. There are 60 minutes in an hour, not 100. 3:50 to 4:20 is 30 minutes, not 70.

Worked example 8.6.7
A film starts at 2:25 pm. It lasts 1 hour 50 minutes. What time does it finish?

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Add the whole hours first. Then add the minutes, jumping to the next o'clock if you pass it.

  1. Start at the start time and count on the whole hours first. Adding whole hours is easy: the minutes stay the same.
    2:25 pm + 1 hour = 3:25 pm
  2. Count on the 50 minutes. Going to the next o'clock first makes the sum easy. The minutes left are added after.
    Jump to the next o'clock: 60 − 25 = 35 minutes, so 3:25 pm + 35 min = 4:00 pm.
    Jump the rest: 50 − 35 = 15 minutes, so 4:00 pm + 15 min = 4:15 pm
  3. Look at the number line. It shows all the jumps from the start to the end.
    2:25 pm3:25 pm4:00 pm4:15 pm+1 h+35 min+15 min
  4. Write the end time.
    4:15 pm

Check. Count back from the end: 4:15 pm − 1 hour 50 minutes = 2:25 pm. ✓

Watch out. The minutes go up to 60, then the hour changes. 2:45 + 30 minutes is 3:15, not 2:75.

Worked example 8.6.8
A bus journey starts at 15:40 and takes 2 hours 35 minutes. What time does it end? Write the time as a 24-hour time.

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Add the whole hours first. Then add the minutes, jumping to the next o'clock if you pass it.

  1. Start at the start time and count on the whole hours first. Adding whole hours is easy: the minutes stay the same.
    15:40 + 2 hours = 17:40
  2. Count on the 35 minutes. Going to the next o'clock first makes the sum easy. The minutes left are added after.
    Jump to the next o'clock: 60 − 40 = 20 minutes, so 17:40 + 20 min = 18:00.
    Jump the rest: 35 − 20 = 15 minutes, so 18:00 + 15 min = 18:15
  3. Look at the number line. It shows all the jumps from the start to the end.
    15:4017:4018:0018:15+2 h+20 min+15 min
  4. Write the end time.
    18:15

Check. Count back from the end: 18:15 − 2 hours 35 minutes = 15:40. ✓

Watch out. The minutes go up to 60, then the hour changes. 2:45 + 30 minutes is 3:15, not 2:75.

Worked example 8.6.9
A concert finishes at 5:10 pm. It lasted 2 hours 35 minutes. What time did it start?

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Count back from the end time: first the whole hours, then the minutes, going through the o'clock if you need to.

  1. Start at the end time and count back the whole hours first. Taking away whole hours is easy: the minutes stay the same.
    5:10 pm − 2 hours = 3:10 pm
  2. Count back the 35 minutes. Going back to the o'clock first makes the sum easy. Then we take away the minutes that are left.
    Go back to the o'clock first: 3:10 pm − 10 min = 3:00 pm.
    Go back the rest: 35 − 10 = 25 minutes, so 3:00 pm − 25 min = 2:35 pm
  3. Look at the number line. The arrows show the jumps back from the end time.
    2:35 pm3:00 pm3:10 pm5:10 pm−25 min−10 min−2 h
  4. Write the start time.
    2:35 pm

Check. Count on from the start: 2:35 pm + 2 hours 35 minutes = 5:10 pm. ✓

Watch out. When you count back through an o'clock the hour goes down by one. 3:10 minus 20 minutes is 2:50.

Worked example 8.6.10
Omar’s cycling trip ended at 09:05. It took 1 hour 30 minutes. What time did it start? Write the time as a 24-hour time.

Key words. The duration is how long something takes (how much time goes by). To count on is to jump forward from one time to another. The start time is when something begins. The end time is when it finishes.

Method. Count back from the end time: first the whole hours, then the minutes, going through the o'clock if you need to.

  1. Start at the end time and count back the whole hours first. Taking away whole hours is easy: the minutes stay the same.
    09:05 − 1 hour = 08:05
  2. Count back the 30 minutes. Going back to the o'clock first makes the sum easy. Then we take away the minutes that are left.
    Go back to the o'clock first: 08:05 − 5 min = 08:00.
    Go back the rest: 30 − 5 = 25 minutes, so 08:00 − 25 min = 07:35
  3. Look at the number line. The arrows show the jumps back from the end time.
    07:3508:0008:0509:05−25 min−5 min−1 h
  4. Write the start time.
    07:35

Check. Count on from the start: 07:35 + 1 hour 30 minutes = 09:05. ✓

Watch out. When you count back through an o'clock the hour goes down by one. 3:10 minus 20 minutes is 2:50.

Watch out

An hour is 60 minutes, not 100. From 3:50 to 5:20 is not “2 hours 30” and the minutes cannot go above 59. 3:50 to 4:00 is 10 minutes, 4:00 to 5:00 is 1 hour, 5:00 to 5:20 is 20 minutes: 1 hour 30 minutes. Also, when you count back through an o’clock, the hour goes down.

Exercise 8F  Durations, start times and end times

Non-calculator
1
FHow many minutes are there from the first time to the second time?
(a)9:10 am to 9:50 am
(b)3:20 pm to 3:55 pm
(c)11:05 am to 11:50 am
(d)6:15 pm to 6:45 pm
2
FThese times go past the next o’clock. How many minutes are there from the first time to the second time?
(a)4:40 pm to 5:15 pm
(b)8:50 am to 9:20 am
(c)1:35 pm to 2:10 pm
(d)7:45 pm to 8:25 pm
3
FHow long is it from the first time to the second time? Write your answer in hours and minutes.
(a)9:15 am to 11:40 am
(b)2:30 pm to 5:10 pm
(c)7:20 am to 10:05 am
(d)12:45 pm to 4:15 pm
4
FEach pair of clocks shows a start time and an end time. How long is it from the start to the end?
(a)
123456789101112start123456789101112end
(b)
123456789101112start123456789101112end
(c)
123456789101112start123456789101112end
5
FWork out the end time.
(a)Starts at 2:20 pm and lasts 45 minutes.
(b)Starts at 10:35 am and lasts 1 hour 30 minutes.
(c)Starts at 4:50 pm and lasts 2 hours 20 minutes.
(d)Starts at 8:15 am and lasts 3 hours 50 minutes.
6
FWork out the start time.
(a)Ends at 4:30 pm and lasted 50 minutes.
(b)Ends at 11:15 am and lasted 1 hour 45 minutes.
(c)Ends at 6:05 pm and lasted 2 hours 20 minutes.
(d)Ends at 1:10 pm and lasted 25 minutes.
7
FHow long is it from the first time to the second time? These are 24-hour times.
(a)13:15 to 15:50
(b)09:40 to 12:10
(c)16:25 to 18:05
(d)20:50 to 23:20
8
FThese times go over 12 noon or midnight. How long is it from the first time to the second time?
(a)11:30 am to 1:15 pm
(b)9:45 pm to 12:20 am
(c)10:15 pm to 6:30 am
9
FLook at the number line. (a) What is the first jump? (b) What is the second jump? (c) How long is it from 3:35 pm to 6:20 pm?
3:35 pm4:00 pm6:00 pm6:20 pm??+20 min
(a)The first jump
(b)The second jump
(c)The total time
10
PSA football match starts at 3:15 pm. There are two halves of 45 minutes, with a 15 minute break between them. What time does the match finish?
11
PSPriya does her homework from 4:50 pm until 5:35 pm. Leo does his homework from 5:05 pm until 5:55 pm.
(a)How long does Priya work for?
(b)How long does Leo work for?
(c)Who works for longer, and by how much?
12
PSA baby goes to sleep at 7:40 pm and wakes up at 6:10 am. How long does the baby sleep for?
13
RTom says, “From 3:50 to 5:20 is 1 hour 70 minutes.” What mistake has he made? What is the correct answer?
14
RA film starts at 7:45 pm and lasts 2 hours 20 minutes. Amira says it will finish before 10 pm. Is she right? Prove it.
15
RChallenge. A night train journey takes 3 hours 45 minutes. It arrives at 00:10. What time did it leave? Write the time as a 24-hour time.

Websink Prep UK is an independent site. It is not affiliated with, endorsed by or sponsored by AQA, Pearson Edexcel, OCR, WJEC, Eduqas, CCEA, SQA, GL Assessment, CEM or the Department for Education. All exam board names and trademarks belong to their owners. Past papers are linked from the exam boards' own websites and are not hosted here.

About Websink Prep UK · Find a tutor · Privacy · Terms · Cookie settings