Lesson Zone AU - Time and Date - Free Printable

Problem: How Long Does It Take?

The worksheet involves solving time-related problems. Below is a detailed explanation and solution for each problem.

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#### Problem 1: Calculate the length of time in hours and minutes between each of the following sets of times.

We need to calculate the time difference between two given times. Here's how to do it step by step:

##### a. From 7:20 am to 12:00 midday
- Start time: 7:20 am
- End time: 12:00 pm (midday)
- Time difference:
- From 7:20 am to 12:00 pm is 4 hours and 40 minutes.
- Answer: 4 hours 40 minutes

##### b. From 11:11 am to 19:32
- Start time: 11:11 am
- End time: 19:32 (which is 7:32 pm in 12-hour format)
- Time difference:
- From 11:11 am to 12:00 pm: 49 minutes
- From 12:00 pm to 19:32: 7 hours 32 minutes
- Total: 7 hours 81 minutes = 8 hours 21 minutes
- Answer: 8 hours 21 minutes

##### c. From 6:57 am to 10:46 am
- Start time: 6:57 am
- End time: 10:46 am
- Time difference:
- From 6:57 am to 10:46 am: 3 hours 49 minutes
- Answer: 3 hours 49 minutes

##### d. From 12:00 pm to 2:05 pm
- Start time: 12:00 pm
- End time: 2:05 pm
- Time difference:
- From 12:00 pm to 2:05 pm: 2 hours 5 minutes
- Answer: 2 hours 5 minutes

##### e. From 14:23 to 6:00
- Start time: 14:23 (which is 2:23 pm)
- End time: 6:00 (which is 6:00 am the next day)
- Time difference:
- From 2:23 pm to 12:00 am: 9 hours 37 minutes
- From 12:00 am to 6:00 am: 6 hours
- Total: 15 hours 37 minutes
- Answer: 15 hours 37 minutes

##### f. From 7:11 am to 11:07 pm
- Start time: 7:11 am
- End time: 11:07 pm
- Time difference:
- From 7:11 am to 12:00 pm: 4 hours 49 minutes
- From 12:00 pm to 11:07 pm: 11 hours 7 minutes
- Total: 15 hours 56 minutes
- Answer: 15 hours 56 minutes

##### g. From 12:00 pm to 15:00
- Start time: 12:00 pm
- End time: 15:00 (which is 3:00 pm)
- Time difference:
- From 12:00 pm to 3:00 pm: 3 hours
- Answer: 3 hours

##### h. From 10:10 am to 3:01 pm
- Start time: 10:10 am
- End time: 3:01 pm
- Time difference:
- From 10:10 am to 12:00 pm: 1 hour 50 minutes
- From 12:00 pm to 3:01 pm: 3 hours 1 minute
- Total: 4 hours 51 minutes
- Answer: 4 hours 51 minutes

##### i. From the start of school to first recess
- Assume school starts at 8:00 am and first recess is at 9:30 am.
- Time difference:
- From 8:00 am to 9:30 am: 1 hour 30 minutes
- Answer: 1 hour 30 minutes

##### j. From the end of lunch to the end of school
- Assume lunch ends at 1:00 pm and school ends at 3:00 pm.
- Time difference:
- From 1:00 pm to 3:00 pm: 2 hours
- Answer: 2 hours

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#### Problem 2: A movie at the theatre starts at 7:10 pm and finishes at 9:25 pm. How long does it run?
- Start time: 7:10 pm
- End time: 9:25 pm
- Time difference:
- From 7:10 pm to 9:25 pm: 2 hours 15 minutes
- Answer: 2 hours 15 minutes

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#### Problem 3: Lisa and Brian went to see a play, which lasted 2 hours and 12 minutes. The play ended at 2:04 pm. What time did it start?
- Play duration: 2 hours 12 minutes
- End time: 2:04 pm
- Start time:
- Subtract 2 hours 12 minutes from 2:04 pm:
- 2:04 pm - 2 hours = 12:04 pm
- 12:04 pm - 12 minutes = 11:52 am
- Answer: 11:52 am

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#### Problem 4: A cyclist left home at 6:30 am. She rode until 8:10 am, stopped for a 20-minute break, and then cycled home, which took 1 hour and 50 minutes. What time was it when she got back home?
- Start time: 6:30 am
- Riding time: 8:10 am - 6:30 am = 1 hour 40 minutes
- Break time: 20 minutes
- Return riding time: 1 hour 50 minutes
- Total time spent:
- 1 hour 40 minutes + 20 minutes + 1 hour 50 minutes = 3 hours 50 minutes
- Time she got back home:
- 6:30 am + 3 hours 50 minutes = 10:20 am
- Answer: 10:20 am

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#### Problem 5: Paul and Vickie drove from Zurich, Switzerland to Lyon, France. It took 3 hours and 50 minutes to drive from Zurich to Dijon, France, and 2 hours 25 minutes to drive from Dijon to Lyon.
##### a. How many minutes did the trip take?
- First leg: 3 hours 50 minutes = 3 × 60 + 50 = 230 minutes
- Second leg: 2 hours 25 minutes = 2 × 60 + 25 = 145 minutes
- Total time in minutes:
- 230 + 145 = 375 minutes
- Answer: 375 minutes

##### b. How many hours and minutes did it take?
- Total time in minutes: 375 minutes
- Convert to hours and minutes:
- 375 ÷ 60 = 6 hours with a remainder of 15 minutes
- Answer: 6 hours 15 minutes

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Final Answers:

1.
a. 4 hours 40 minutes
b. 8 hours 21 minutes
c. 3 hours 49 minutes
d. 2 hours 5 minutes
e. 15 hours 37 minutes
f. 15 hours 56 minutes
g. 3 hours
h. 4 hours 51 minutes
i. 1 hour 30 minutes
j. 2 hours

2. 2 hours 15 minutes

3. 11:52 am

4. 10:20 am

5.
a. 375 minutes
b. 6 hours 15 minutes

Final Boxed Answers:
\[
\boxed{
\begin{array}{l}
\text{1. a) 4 hours 40 minutes} \\
\text{ b) 8 hours 21 minutes} \\
\text{ c) 3 hours 49 minutes} \\
\text{ d) 2 hours 5 minutes} \\
\text{ e) 15 hours 37 minutes} \\
\text{ f) 15 hours 56 minutes} \\
\text{ g) 3 hours} \\
\text{ h) 4 hours 51 minutes} \\
\text{ i) 1 hour 30 minutes} \\
\text{ j) 2 hours} \\
\text{2. 2 hours 15 minutes} \\
\text{3. 11:52 am} \\
\text{4. 10:20 am} \\
\text{5. a) 375 minutes} \\
\text{ b) 6 hours 15 minutes}
\end{array}
}
\]