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time

Time word problems

Solve duration, start-time and end-time problems.

Quick answer

You can solve time word problems by using addition or subtraction to find how long something takes or when something starts or ends.

Learning outcome

By the end of this page, you will be able to solve time word problems involving duration, start time, and end time using addition and subtraction. Success signs:
  • You can tell how long an activity takes
  • You can work out when something starts or finishes
  • You can use a number line or clock to help solve time problems
  • You can solve problems about time that involve hours and minutes

Why this matters

Time word problems are useful because they help you understand how long things take, plan your day, and know when your favourite TV show or playtime ends. Whether you're waiting for your birthday party, planning a trip, or just trying to know when it's time for lunch, understanding time helps you manage your day better. In school, you'll use time problems to work out how long tests take, when breaks happen, or how long it takes to get somewhere.

How it works

To solve time word problems, you need to:
  1. Read the problem carefully and find the start time, end time, or duration
  2. Use a number line or clock to help you count forwards or backwards
  3. Add or subtract hours and minutes to find the answer
  4. Check that your answer makes sense

Examples you can see

Let's look at some real examples to help you understand how to solve time word problems. Example 1: Finding Duration If you start your maths homework at 3:15 and finish at 4:00, how long did you work?
  • Start time: 3:15
  • End time: 4:00
  • Count from 3:15 to 4:00
  • From 3:15 to 3:60 is 45 minutes
  • So, you worked for 45 minutes
Example 2: Finding End Time If your swimming lesson starts at 2:30 and lasts for 1 hour and 15 minutes, what time does it finish?
  • Start time: 2:30
  • Duration: 1 hour and 15 minutes
  • Add 1 hour to 2:30 = 3:30
  • Add 15 minutes to 3:30 = 3:45
  • So, the lesson finishes at 3:45
Example 3: Finding Start Time If your bedtime story ends at 8:15 and it lasted for 45 minutes, what time did it start?
  • End time: 8:15
  • Duration: 45 minutes
  • Count backwards from 8:15
  • Subtract 15 minutes = 8:00
  • Subtract 30 minutes = 7:30
  • So, the story started at 7:30

Try it as a mini adventure

Adventure: The Time Traveler's Journey You are a time traveler who needs to find the right time to go to different places. Here's your mission:
  • First stop: The School Library (Start time: 10:00)
  • You need to be there for 1 hour and 30 minutes
  • Second stop: The Playground (End time: 12:45)
  • You spent 1 hour and 15 minutes there
  • Third stop: The Ice Cream Shop (Start time: 2:00)
  • You spent 45 minutes there
Now, you need to figure out:
  1. When you finish at the library
  2. When you start at the playground
  3. When you finish at the ice cream shop
Let's solve it step by step: Library:
  • Start time: 10:00
  • Duration: 1 hour and 30 minutes
  • 10:00 + 1 hour = 11:00
  • 11:00 + 30 minutes = 11:30
  • You finish at the library at 11:30
Playground:
  • End time at playground: 12:45
  • Duration: 1 hour and 15 minutes
  • 12:45 - 1 hour = 11:45
  • 11:45 - 15 minutes = 11:30
  • You start at the playground at 11:30
Ice Cream Shop:
  • Start time: 2:00
  • Duration: 45 minutes
  • 2:00 + 45 minutes = 2:45
  • You finish at the ice cream shop at 2:45

Common mistakes

  • Mistake: Thinking that 60 minutes equals 1 hour and 60 seconds equals 1 minute.
    • Why it happens: Confusing the relationship between minutes and seconds
    • Fix: Remember that 60 seconds = 1 minute and 60 minutes = 1 hour
  • Mistake: Adding hours and minutes without regrouping correctly.
    • Why it happens: Not knowing that 60 minutes make 1 hour
    • Fix: When adding minutes, if you get more than 60, convert the extra into hours
  • Mistake: Forgetting to use the 12-hour clock format correctly.
    • Why it happens: Not understanding AM and PM
    • Fix: Always remember that 12:00 PM is noon and 12:00 AM is midnight

Parent and carer guide

As a parent or carer, you can help your child by:
  • Using a real clock or a digital clock to show time problems
  • Practising with everyday situations like "What time will dinner be ready if we start cooking at 5:30 and it takes 45 minutes?"
  • Using number lines to help visualise time problems
  • Encouraging your child to check their answer makes sense (e.g., if they start at 2:00 and add 1 hour, the answer should be later, not earlier)
  • Reinforcing that time problems are about adding or subtracting, not just counting
What to say:
  • "Let's look at the clock and count forwards or backwards"
  • "Does your answer make sense?"
  • "Can you draw a number line to show this?"
  • "Try working it out a different way to check"
What not to worry about:
  • Your child may make mistakes at first – that's normal
  • Don't rush them, but keep encouraging
  • It's okay if they need to use a clock or number line to help

Practice questions

  1. Tommy starts his bike ride at 3:20. He rides for 1 hour and 35 minutes. What time does he finish?
  2. Emma's music lesson ends at 4:15. It lasted for 1 hour and 20 minutes. What time did it start?
  3. Lucy starts reading at 6:45. She reads for 40 minutes. What time does she finish?
  4. Ben's football match starts at 2:15. It lasts for 1 hour and 50 minutes. What time does it finish?
  5. Anna's art class starts at 10:30. It lasts for 1 hour and 15 minutes. What time does it end?
Answers:
  1. 5:15
  2. 2:55
  3. 7:25
  4. 4:05
  5. 11:45

FAQ

What is a time word problem?

A time word problem is a maths problem that uses words to describe a situation involving time, such as how long something takes or when something starts or finishes.

How do I know if I need to add or subtract in a time problem?

If you're finding the end time, you add. If you're finding the start time, you subtract.

What's the best way to solve time problems?

The best way is to use a number line or clock, and always check if your answer makes sense.

Can I use a digital clock for time problems?

Yes! A digital clock is helpful, but it's also good to learn how to use an analog clock.

How can I practice time problems at home?

You can practice by asking questions like "What time will it be in 30 minutes?" or "How long did your breakfast take?"