Time Based Word Problems Worksheets - 15 Worksheets Library - Free Printable
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Step-by-step solution for: Time Based Word Problems Worksheets - 15 Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Time Based Word Problems Worksheets - 15 Worksheets Library
Let's solve each of the Grade 8 Time Word Problems step by step. I'll go through each one, explain the reasoning, and provide the correct answer.
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> A 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:
- Start time: 8:00 AM
- Add 4 hours → 12:00 PM (noon)
- Add 20 minutes → 12:20 PM
✔ Answer: 12:20 PM
---
> Emma attends a meeting that starts at 10:30 AM and ends at 1:45 PM. How long does the meeting last?
Solution:
Break it into parts:
- From 10:30 AM to 12:30 PM = 2 hours
- From 12:30 PM to 1:45 PM = 1 hour 15 minutes
- Total = 2 + 1 hour 15 min = 3 hours 15 minutes
✔ Answer: 3 hours 15 minutes
---
> Lisa’s flight departs from New York at 9:45 AM Eastern Standard Time (EST) and arrives 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:
- Flight duration: 14 hours
- Departure time (EST): 9:45 AM
- Add 14 hours to departure:
- 9:45 AM + 14 hours = 11:45 PM (same day, EST)
- Now convert to Dubai time: Dubai is 9 hours ahead of EST
- 11:45 PM + 9 hours = 8:45 AM (next day)
✔ Answer: 8:45 AM (next day)
---
> 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:
Convert total time to seconds:
- 1 hour = 3600 seconds
- 45 minutes = 2700 seconds
- 30 seconds = 30 seconds
- Total = 3600 + 2700 + 30 = 6330 seconds
Distance = 21.1 km
Time per km in seconds:
6330 ÷ 21.1 ≈ 300 seconds per km
Convert to minutes:
300 ÷ 60 = 5 minutes per km
✔ Answer: 5 minutes per kilometer
---
> 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:
- Start: 2:45 PM
- Add 1 hour → 3:45 PM
- Add 10 minutes → 3:55 PM
✔ Answer: 3:55 PM
---
> 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:
- Start: 8:15 AM
- Add 7 hours → 3:15 PM
- Add 45 minutes → 4:00 PM
✔ Answer: 4:00 PM
---
> Lisa 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:
- Start: 6:30 AM
- Add 3 hours → 9:30 AM
- Add 40 minutes → 9:50 AM
✔ Answer: 9:50 AM
---
> David’s flight departs from Los Angeles at 11:15 PM Pacific Standard Time (PST) and arrives in Sydney after a 10-hour flight. If Sydney is 19 hours ahead of PST, what time does David’s flight arrive in Sydney local time?
Solution:
- Departure (PST): 11:15 PM
- Flight duration: 10 hours
- 11:15 PM + 10 hours = 9:15 AM (next day, PST)
- Add 19 hours for Sydney time zone:
- 9:15 AM + 19 hours = 4:15 AM (next day, Sydney time)
✔ Answer: 4:15 AM (next day)
---
> Sarah plans to watch a movie that has a duration of 3 hours and 25 minutes. She wants to finish the movie by 11:00 PM. At what time should she start watching it?
Solution:
Subtract 3 hours 25 minutes from 11:00 PM:
- 11:00 PM – 3 hours = 8:00 PM
- 8:00 PM – 25 minutes = 7:35 PM
✔ Answer: 7:35 PM
---
> 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:
- Start time: 8:30 AM
- Add 55 minutes → 9:25 AM
- Add 45 seconds → 9:25:45 AM
✔ Answer: 9:25:45 AM
---
| Problem | Answer |
|--------|--------|
| 1 | 12:20 PM |
| 2 | 3 hours 15 minutes |
| 3 | 8:45 AM (next day) |
| 4 | 5 minutes per kilometer |
| 5 | 3:55 PM |
| 6 | 4:00 PM |
| 7 | 9:50 AM |
| 8 | 4:15 AM (next day) |
| 9 | 7:35 PM |
| 10 | 9:25:45 AM |
Let me know if you'd like these formatted as a printable worksheet or need explanations in simpler language!
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1. Train Travel
> A 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:
- Start time: 8:00 AM
- Add 4 hours → 12:00 PM (noon)
- Add 20 minutes → 12:20 PM
✔ Answer: 12:20 PM
---
2. Meeting Duration
> Emma attends a meeting that starts at 10:30 AM and ends at 1:45 PM. How long does the meeting last?
Solution:
Break it into parts:
- From 10:30 AM to 12:30 PM = 2 hours
- From 12:30 PM to 1:45 PM = 1 hour 15 minutes
- Total = 2 + 1 hour 15 min = 3 hours 15 minutes
✔ Answer: 3 hours 15 minutes
---
3. Time Zone Conversion
> Lisa’s flight departs from New York at 9:45 AM Eastern Standard Time (EST) and arrives 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:
- Flight duration: 14 hours
- Departure time (EST): 9:45 AM
- Add 14 hours to departure:
- 9:45 AM + 14 hours = 11:45 PM (same day, EST)
- Now convert to Dubai time: Dubai is 9 hours ahead of EST
- 11:45 PM + 9 hours = 8:45 AM (next day)
✔ Answer: 8:45 AM (next day)
---
4. Running Pace
> 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:
Convert total time to seconds:
- 1 hour = 3600 seconds
- 45 minutes = 2700 seconds
- 30 seconds = 30 seconds
- Total = 3600 + 2700 + 30 = 6330 seconds
Distance = 21.1 km
Time per km in seconds:
6330 ÷ 21.1 ≈ 300 seconds per km
Convert to minutes:
300 ÷ 60 = 5 minutes per km
✔ Answer: 5 minutes per kilometer
---
5. Cooking Time
> 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:
- Start: 2:45 PM
- Add 1 hour → 3:45 PM
- Add 10 minutes → 3:55 PM
✔ Answer: 3:55 PM
---
6. Work Break
> 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:
- Start: 8:15 AM
- Add 7 hours → 3:15 PM
- Add 45 minutes → 4:00 PM
✔ Answer: 4:00 PM
---
7. Train Schedule
> Lisa 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:
- Start: 6:30 AM
- Add 3 hours → 9:30 AM
- Add 40 minutes → 9:50 AM
✔ Answer: 9:50 AM
---
8. Time Conversion
> David’s flight departs from Los Angeles at 11:15 PM Pacific Standard Time (PST) and arrives in Sydney after a 10-hour flight. If Sydney is 19 hours ahead of PST, what time does David’s flight arrive in Sydney local time?
Solution:
- Departure (PST): 11:15 PM
- Flight duration: 10 hours
- 11:15 PM + 10 hours = 9:15 AM (next day, PST)
- Add 19 hours for Sydney time zone:
- 9:15 AM + 19 hours = 4:15 AM (next day, Sydney time)
✔ Answer: 4:15 AM (next day)
---
9. Movie Start Time
> Sarah plans to watch a movie that has a duration of 3 hours and 25 minutes. She wants to finish the movie by 11:00 PM. At what time should she start watching it?
Solution:
Subtract 3 hours 25 minutes from 11:00 PM:
- 11:00 PM – 3 hours = 8:00 PM
- 8:00 PM – 25 minutes = 7:35 PM
✔ Answer: 7:35 PM
---
10. Race Finish Time
> 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:
- Start time: 8:30 AM
- Add 55 minutes → 9:25 AM
- Add 45 seconds → 9:25:45 AM
✔ Answer: 9:25:45 AM
---
✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| 1 | 12:20 PM |
| 2 | 3 hours 15 minutes |
| 3 | 8:45 AM (next day) |
| 4 | 5 minutes per kilometer |
| 5 | 3:55 PM |
| 6 | 4:00 PM |
| 7 | 9:50 AM |
| 8 | 4:15 AM (next day) |
| 9 | 7:35 PM |
| 10 | 9:25:45 AM |
Let me know if you'd like these formatted as a printable worksheet or need explanations in simpler language!
Parent Tip: Review the logic above to help your child master the concept of time zone worksheet year 5.
