Chapter 4

Problem Solving

Learn to solve time word problems using 4 simple steps.

Solving time word problems

Time problems ask you to find a starting time, an ending time, or how long something lasts (the duration). Read the question slowly and follow 4 steps so you do not rush and make a mistake.

Some questions use the 12-hour system (with a.m. and p.m.) and some use the 24-hour system (like 15:45). Change both times to the same system before you work.

Key idea

1 Understand what is asked. 2 Plan: decide whether to add or subtract. 3 Solve carefully, hour with hour and minute with minute. 4 Check the answer makes sense. Remember 1 hour = 60 minutes, so when the minutes reach 60 you carry 1 hour.

Worked example

Worked example

A film starts at 2:15 p.m. and lasts 1 hour 40 minutes. When does it end?

Plan: add the duration to the start time.

2:15 + 1 hour = 3:15, then + 40 minutes = 3:55.

The film ends at 3:55 p.m. Check: 3:55 − 1:40 = 2:15. Correct.

Remember

  • To find an ending time, add the duration.
  • To find a starting time, subtract the duration.
  • When minutes reach 60, carry 1 hour.

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