The speed of two bodies are in the ratio 3 : 5. If they cover the same distance, what is the ratio of the time taken by them? MCQ with Answer and Explanation

The speed of two bodies are in the ratio 3 : 5. If they cover the same distance, what is the ratio of the time taken by them?
A. 9 : 25
B. 5 : 3
C. 25 : 9
D. 3 : 5
Answer: Option B
Solution (By JKExamLibrary)
Since time is inversely proportional to speed when distance is constant, the ratio of time taken is the reciprocal of the speed ratio: 1/3 : 1/5 = 5 : 3.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
A train 120 meters long running at 108 km/h completely passes another train 180 meters long running at 72 km/h in the same direction. How much time do they take to clear each other?
A. 35 seconds
B. 30 seconds
C. 40 seconds
D. 25 seconds

Correct Answer: Option B


Explanation:
Total distance to be covered = 120 + 180 = 300 meters. Relative speed in same direction = 108 - 72 = 36 km/h = 36 * (5/18) = 10 m/s. Time taken = 300 / 10 = 30 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A boat can row 12 km/h in still water. If the river current flows at 4 km/h, find the time taken by the boat to row 48 km upstream.
A. 10 hours
B. 8 hours
C. 6 hours
D. 4 hours

Correct Answer: Option C


Explanation:
Upstream speed = 12 - 4 = 8 km/h. Time taken = Distance / Upstream Speed = 48 / 8 = 6 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
Excluding stoppages, a transit bus maintains an average speed of 75 km/h, and including stoppages its speed is 60 km/h. Find the stoppage time per hour.
A. 12 minutes
B. 15 minutes
C. 10 minutes
D. 18 minutes

Correct Answer: Option B


Explanation:
Stoppage time per hour = (Fast speed - Slow speed) / Fast speed = (75 - 60) / 75 = 15 / 75 = 1/5 hour. Converting to minutes = (1/5) * 60 = 15 minutes.

This question belongs to: Maths Time Speed and Distance