Time Based Word Problems Worksheets - 15 Worksheets Library - Free Printable

Problem: Grade 8 Time Word Problems

Below, I will solve each problem step by step with clear explanations.

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#### 1. Train Schedule
Problem:
Train T high-speed train departs from Station A at 8:00 AM and arrives at Station B after a 4-hour and 20-minute journey. What time does the train arrive at Station B?

Solution:
- Departure time: 8:00 AM
- Journey duration: 4 hours and 20 minutes

To find the arrival time:
1. Add 4 hours to 8:00 AM:
\( 8:00 \, \text{AM} + 4 \, \text{hours} = 12:00 \, \text{PM} \)
2. Add 20 minutes to 12:00 PM:
\( 12:00 \, \text{PM} + 20 \, \text{minutes} = 12:20 \, \text{PM} \)

Answer: The train arrives at Station B at 12:20 PM.

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#### 2. Meeting Duration
Problem:
Emma attends a meeting that starts at 10:30 AM and ends at 1:45 PM. How long does the meeting last?

Solution:
To calculate the duration of the meeting:
1. Convert both times to a 24-hour format for easier calculation:
- Start time: 10:30 AM
- End time: 1:45 PM (which is 13:45 in 24-hour format)
2. Subtract the start time from the end time:
- From 10:30 AM to 1:45 PM is the same as from 10:30 to 13:45.
- Hours: \( 13 - 10 = 3 \) hours
- Minutes: \( 45 - 30 = 15 \) minutes
3. Combine the results:
The meeting lasts 3 hours and 15 minutes.

Answer: The meeting lasts 3 hours and 15 minutes.

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#### 3. Time Zone Conversion
Problem:
Lisa's flights depart from New York at 9:45 PM Eastern Standard Time (EST) and arrive in Dubai after a 14-hour flight. If Dubai is 9 hours ahead of EST, what time does Lisa's flight arrive in Dubai local time?

Solution:
1. Departure Time in EST: 9:45 PM
2. Flight Duration: 14 hours
- Adding 14 hours to 9:45 PM:
- From 9:45 PM to 1:45 AM (next day): \( 9:45 + 4.5 \, \text{hours} = 1:45 \, \text{AM} \)
- From 1:45 AM to 1:45 PM (same day): \( 1:45 + 12 \, \text{hours} = 1:45 \, \text{PM} \)
- So, the arrival time in EST is 1:45 PM.
3. Time Zone Difference: Dubai is 9 hours ahead of EST.
- Add 9 hours to 1:45 PM:
- From 1:45 PM to 10:45 PM: \( 1:45 + 9 \, \text{hours} = 10:45 \, \text{PM} \)

Answer: Lisa's flight arrives in Dubai at 10:45 PM.

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#### 4. Running Pace
Problem:
David runs a half marathon (21.1 kilometers) in 1 hour, 45 minutes, and 30 seconds. What is his average pace in minutes per kilometer?

Solution:
1. Convert total time to minutes:
- 1 hour = 60 minutes
- 45 minutes = 45 minutes
- 30 seconds = \( \frac{30}{60} = 0.5 \) minutes
- Total time in minutes: \( 60 + 45 + 0.5 = 105.5 \) minutes
2. Calculate pace per kilometer:
- Total distance = 21.1 kilometers
- Pace per kilometer = \( \frac{\text{Total time}}{\text{Distance}} = \frac{105.5}{21.1} \)
- Perform the division:
\( \frac{105.5}{21.1} \approx 5 \) minutes per kilometer

Answer: David's average pace is 5 minutes per kilometer.

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#### 5. Cooking Time
Problem:
Sarah bakes a cake that needs to be in the oven for 1 hour and 10 minutes. If she puts the cake in the oven at 2:45 PM, at what time should she take it out?

Solution:
1. Start time: 2:45 PM
2. Baking duration: 1 hour and 10 minutes
- Add 1 hour to 2:45 PM:
\( 2:45 \, \text{PM} + 1 \, \text{hour} = 3:45 \, \text{PM} \)
- Add 10 minutes to 3:45 PM:
\( 3:45 \, \text{PM} + 10 \, \text{minutes} = 3:55 \, \text{PM} \)

Answer: Sarah should take the cake out at 3:55 PM.

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#### 6. Work Break
Problem:
Emma works for 7 hours and 45 minutes each day. If she starts working at 8:15 AM, at what time does she finish work?

Solution:
1. Start time: 8:15 AM
2. Work duration: 7 hours and 45 minutes
- Add 7 hours to 8:15 AM:
\( 8:15 \, \text{AM} + 7 \, \text{hours} = 3:15 \, \text{PM} \)
- Add 45 minutes to 3:15 PM:
\( 3:15 \, \text{PM} + 45 \, \text{minutes} = 4:00 \, \text{PM} \)

Answer: Emma finishes work at 4:00 PM.

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#### 7. Train Schedule
Problem:
Luisa catches a train that departs at 6:30 AM and arrives at her destination after a 3-hour and 40-minute journey. What time does the train arrive at her destination?

Solution:
1. Departure time: 6:30 AM
2. Journey duration: 3 hours and 40 minutes
- Add 3 hours to 6:30 AM:
\( 6:30 \, \text{AM} + 3 \, \text{hours} = 9:30 \, \text{AM} \)
- Add 40 minutes to 9:30 AM:
\( 9:30 \, \text{AM} + 40 \, \text{minutes} = 10:10 \, \text{AM} \)

Answer: The train arrives at Luisa's destination at 10:10 AM.

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#### 8. Time Conversion
Problem:
David's flight departs from Los Angeles at 11:15 Pacific Standard Time (PST) and arrives in Sydney after a 16-hour flight. If Sydney is 19 hours ahead of PST, what time does David's flight arrive in Sydney local time?

Solution:
1. Departure Time in PST: 11:15 PM
2. Flight Duration: 16 hours
- Adding 16 hours to 11:15 PM:
- From 11:15 PM to 3:15 AM (next day): \( 11:15 + 4 \, \text{hours} = 3:15 \, \text{AM} \)
- From 3:15 AM to 3:15 PM (same day): \( 3:15 + 12 \, \text{hours} = 3:15 \, \text{PM} \)
- So, the arrival time in PST is 3:15 PM.
3. Time Zone Difference: Sydney is 19 hours ahead of PST.
- Add 19 hours to 3:15 PM:
- From 3:15 PM to 10:15 AM (next day): \( 3:15 + 19 \, \text{hours} = 10:15 \, \text{AM} \) (next day)

Answer: David's flight arrives in Sydney at 10:15 AM (next day).

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#### 9. Movie Start Time
Problem:
Sarah plans to watch a movie that has a duration of 3 hours and 25 minutes. If she wants to finish the movie by 11:00 PM, at what time should she start watching it?

Solution:
1. End time: 11:00 PM
2. Movie duration: 3 hours and 25 minutes
- Subtract 3 hours from 11:00 PM:
\( 11:00 \, \text{PM} - 3 \, \text{hours} = 8:00 \, \text{PM} \)
- Subtract 25 minutes from 8:00 PM:
\( 8:00 \, \text{PM} - 25 \, \text{minutes} = 7:35 \, \text{PM} \)

Answer: Sarah should start watching the movie at 7:35 PM.

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#### 10. Race Finish Time
Problem:
Emma participates in a 10-kilometer race. If she finishes the race in 55 minutes and 45 seconds, at what time does she cross the finish line if the race starts at 8:30 AM?

Solution:
1. Start time: 8:30 AM
2. Race duration: 55 minutes and 45 seconds
- Add 55 minutes to 8:30 AM:
\( 8:30 \, \text{AM} + 55 \, \text{minutes} = 9:25 \, \text{AM} \)
- Add 45 seconds to 9:25 AM:
\( 9:25:00 \, \text{AM} + 45 \, \text{seconds} = 9:25:45 \, \text{AM} \)

Answer: Emma crosses the finish line at 9:25:45 AM.

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Final Answers:

1. 12:20 PM
2. 3 hours and 15 minutes
3. 10:45 PM
4. 5 minutes per kilometer
5. 3:55 PM
6. 4:00 PM
7. 10:10 AM
8. 10:15 AM
9. 7:35 PM
10. 9:25:45 AM

Boxed Final Answer:
\[
\boxed{12:20 \, \text{PM}, 3 \, \text{hours and} \, 15 \, \text{minutes}, 10:45 \, \text{PM}, 5 \, \text{minutes per kilometer}, 3:55 \, \text{PM}, 4:00 \, \text{PM}, 10:10 \, \text{AM}, 10:15 \, \text{AM}, 7:35 \, \text{PM}, 9:25:45 \, \text{AM}}
\]