The speed of two cyclists are in the ratio 4 : 7. If they cover the same total distance, what is the ratio of the time taken by them? MCQ with Answer and Explanation

The speed of two cyclists are in the ratio 4 : 7. If they cover the same total distance, what is the ratio of the time taken by them?
A. 49 : 16
B. 16 : 49
C. 7 : 4
D. 4 : 7
Answer: Option C
Solution (By JKSSB Mock Tests)
Since time is inversely proportional to speed when distance is constant, the ratio of time taken is the reciprocal of the speed ratio: 1/4 : 1/7 = 7 : 4.

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Practice More Time Speed and Distance Questions

Question #1
A motorboat rows 30 km downstream in 3 hours and tracks the identical route upstream back to the jetty point in 6 hours. Find the net speed index of the current stream flow.
A. 3.5 km/h
B. 3.0 km/h
C. 2.0 km/h
D. 2.5 km/h

Correct Answer: Option D


Explanation:
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 30 / 6 = 5 km/h. Speed of current stream flow = (10 - 5) / 2 = 5 / 2 = 2.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A standard boat covers 12 km upstream in 4 hours and 16 km downstream in 2 hours. What is the speed of the boat in still water?
A. 5.5 km/h
B. 6.5 km/h
C. 6 km/h
D. 7 km/h

Correct Answer: Option A


Explanation:
Upstream speed = 12 / 4 = 3 km/h. Downstream speed = 16 / 2 = 8 km/h. Speed in still water = (Downstream speed + Upstream speed) / 2 = (8 + 3) / 2 = 5.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A train 140 meters long passes a roadside platform 260 meters long in 20 seconds. Find the speed of the train in km/h.
A. 80 km/h
B. 72 km/h
C. 68 km/h
D. 76 km/h

Correct Answer: Option B


Explanation:
Total distance = 140 + 260 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance