Time and Distance
Time and Distance - Important Points
| 6. | A boy goes to school at a speed of 3 kmph and returns to his home at a speed of 2 kmph. If he takes 10 hours in total, find the distance between the home and school (in kms). |
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A. 17
B. 15
C. 12
D. 14
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Let the required distance be x km
Then the time taken for the first journey = x/3 hr
Time taken for the second journey = x/2 hr
Total time taken = 10 hrs = x / 3 + x / 2
=> x = 12 kms
| 7. | A boy goes to school at a speed of 4 kmph and returns to his home at a speed of 3 kmph. If he takes 7 hours in total, find the distance between the home and school. |
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A. 21 km
B. 3.5 km
C. 7 km
D. 12 km
View Answer Discuss Work SpaceAnswer: option d
Explanation:
Let the required distance be x km
Then, the time taken for the first journey = x / 4 hr
Time taken for the return journey = x / 3 hr
Total time taken = 7 hrs = x / 4 + x / 3
x = 12 kms
| 8. | A car covers the first 100 km in 2 hours, the next 120 km in 3 hours and the remaining 80 km in 1 hour. The average speed of the car is: |
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A. 50 kmph
B. 45 kmph
C. 48 kmph
D. 52 kmph
View Answer Discuss Work SpaceAnswer: option a
Explanation:
Total distance covered = 100 + 120 + 80 = 300 km
Time total = 3 + 2 + 1 = 6 hours.
Average speed = Total distance / Total time
= 300 / 6 = 50
| 9. | The ratio between the speeds of two trains is 4:5. If the second train runs at 250 km in 5 hours, speed of the first train is: |
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A. 32 kmph
B. 40 kmph
C. 35 kmph
D. 39 kmph
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Ratio between the speeds of two trains is 4:5
The speed of the trains be 4x and 5x kmph.
Also given that, distance covered by second train = 250 km
Time taken by 2nd train = 5 hours
Then Speed of 2nd Train = Distance/ Time
= 250 / 5 which is equal to 5x
=> 5x = 250/5
=> x = 10
Speed of the first train = 4x = 4 * 10 = 40 kmph
| 10. | A man covers 35 km of a journey at 5 kmph and remaining 55 km of the journey in 2 hours. His average speed is: |
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A. 12 kmph
B. 18 kmph
C. 10 kmph
D. 15 kmph
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Total distance = (35 + 55) km = 90 km
Time taken in the first part of journey = Distance / speed = 35 / 5 = 7 hours
Time taken in the second part of journey = 2 hours (given)
Total time taken = 7 + 2 = 9 hours.
Average Speed = Total distance / Total Time taken
= 90 km / 9 hours
= 10 km/hr
Time and Distance Questions and Answers FAQ
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