The speeds of three cars are in the ratio 2 : 3 : 4. What is the ratio of time taken by these cars to travel the same distance? MCQ with Answer and Explanation

Question

The speeds of three cars are in the ratio 2 : 3 : 4. What is the ratio of time taken by these cars to travel the same distance?

A. 4 : 3 : 2

B. 12 : 8 : 6

C. 2 : 3 : 4

D. 6 : 4 : 3

Answer: Option D

Solution (By JKSSB Mock Tests)

Ratio of times is the inverse of the ratio of speeds: 1/2 : 1/3 : 1/4. Multiplying by the LCM (12), we get 6 : 4 : 3.

This question belongs to: Maths Time Speed and Distance

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Two locomotive train units 150 meters and 100 meters long are running along parallel track loops in identical directions at speeds of 56 km/h and 46 km/h respectively. In what timeframe will the faster train clear the slower train completely?

A. 90 seconds

B. 80 seconds

C. 100 seconds

D. 110 seconds

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Correct Answer: Option A

Explanation:
Total path distance = 150 + 100 = 250 meters. Relative speed index in same direction = 56 - 46 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 250 / (25/9) = 250 * 9 / 25 = 90 seconds.

This question belongs to: Maths Time Speed and Distance