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Step-by-step practice: Maths · Level 4Chapter 8 · Time to the minute
Step-by-step Maths Level 4 · Time to the minute · Lesson 8.5

Step-by-step Maths Level 4: Finding how long between two times

Part of the Step-by-step Maths Level 4 time to the minute chapter. Chapter overview · whole chapter on one page

8.5

Finding how long between two times

Level 4
Find the duration between two times to the minute, for example from 14:20 to 15:05, Solve a problem with a start time and a duration

To find how long between two times, count on in steps. First count the minutes to the next hour, then the whole hours, then the last minutes.

To find an end time, add the duration to the start time. Carry the minutes into the hours when they pass 60.

Key ideas

  • Count on in steps: minutes to the hour, whole hours, then minutes.
  • Add a duration to find the end time.
  • When minutes pass 60, add an hour.
Worked example 8.5.1
How long is it from 14:20 to 15:05?

Method. Count on from the start time to the end time, in steps: minutes to the hour, whole hours, then minutes.

  1. Count the minutes to the next hour. Count on to 15:00.
    20 to 14:20 is 40 minutes to 15:00
  2. Count the minutes after the hour. Count on from 15:00 to 15:05.
    5 minutes
  3. Add the parts. Add the minutes together.
    40 + 5 = 45
  4. Write the duration. The duration is 45 minutes.
    45 minutes

Check. Check: 14:20 plus 45 minutes is 15:05.

Watch out. Count on in minutes, not in hours.

Worked example 8.5.2
How long is it from 9:50 to 11:10?

Method. Count on from the start time to the end time, in steps.

  1. Count the minutes to 10:00. Count on from 9:50 to 10:00.
    10 minutes
  2. Count the hour from 10:00 to 11:00. One full hour.
    1 hour
  3. Count the minutes after 11:00. Count on from 11:00 to 11:10.
    10 minutes
  4. Add the parts. Add the parts together.
    10 + 60 + 10 = 80 minutes
  5. Write the duration. 80 minutes is 1 hour 20 minutes.
    1 hour 20 minutes

Check. Check: 9:50 plus 1 hour 20 minutes is 11:10.

Watch out. Do not subtract 11 from 9 and 10 from 50.

Worked example 8.5.3
A film starts at 13:15 and lasts 1 hour 40 minutes. What time does it finish? Use a 24-hour clock.

Method. Add the length of the film to the start time. Carry extra minutes into the hours.

  1. Write the start time. It is where we begin.
    13:15
  2. Add the hour first. One hour after 13:15 is 14:15.
    13:15 + 1 hour = 14:15
  3. Add the 40 minutes. 14:15 plus 40 minutes is 14:55.
    14:15 + 40 minutes = 14:55
  4. Write the finish time. Use two digits for the hour and minutes.
    14:55

Check. Check: 14:55 minus 1 hour 40 minutes is 13:15.

Watch out. Add the hours first, then the minutes.

Watch out

Watch out. From 9:50 to 11:10 is 1 hour 20 minutes, not 2 hours. Count the minutes to 10:00 first, then the rest.

Exam tip

Grown-up tip. Use a clock face or a number line from the start time. Count on, and ask: “How many minutes so far?”

Exercise 8E  Practice: durations and end times

Non-calculator
1
PSA show starts at 17:41 and lasts 2 hours. What time does it finish? Use a 24-hour clock.
2
PSHow long is it from 20:20 to 20:49?
3
PSA show starts at 09:21 and lasts 1 hour. What time does it finish? Use a 24-hour clock.
4
PSHow long is it from 14:55 to 15:55?
5
PSHow long is it from 10:30 to 14:18?
6
PSA class starts at 14:11 and lasts 1 hour 20 minutes. What time does it finish? Use a 24-hour clock.
7
PSHow long is it from 08:42 to 09:33?
8
PSHow long is it from 17:46 to 19:21?
9
PSHow long is it from 18:00 to 20:00?
10
PSHow long is it from 17:21 to 19:26?
11
PSA swimming lesson starts at 13:51 and lasts 1 hour 45 minutes. What time does it finish? Use a 24-hour clock.
12
PSHow long is it from 09:10 to 09:35?
13
PSHow long is it from 17:57 to 20:29?
14
PSHow long is it from 19:13 to 23:04?
15
PSA show starts at 14:48 and lasts 2 hours. What time does it finish? Use a 24-hour clock.
16
PSA show starts at 15:25 and lasts 1 hour 30 minutes. What time does it finish? Use a 24-hour clock.

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