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. 5 : 3
B. 25 : 9
C. 9 : 25
D. 3 : 5
Answer: Option A
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: 1/3 : 1/5 = 5 : 3.
A sprinter tracks a 100-meter course in 10 seconds, while the runner-up completes it in 11 seconds. By what distance does the winner beat the runner-up?
Explanation:
Let total distance be 100 km. First section = 40 km; Time = 40 / 20 = 2 hours. Second section = 60 km; Time = 60 / 30 = 2 hours. Total time = 4 hours. Average speed = 100 / 4 = 25 km/h.
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