1.

A runs twice as fast as B and B runs thrice as fast as C. The distance covered by C in 72 minutes, will be covered by A in1. 10 minutes2. 15 minutes3. 12 minutes4. 36 minutes

Answer» Correct Answer - Option 3 : 12 minutes

Given:

A runs twice as fast as B and B runs thrice as fast as C.

Time taken by C to cover the distance = 72 minutes

Formula used:

Distance = speed × time

Concept used:

If the distance is constant then the time is inversely proportional to the speed.

Calculations:

The ratio of the speed of A, B and C = 6 ∶ 3 ∶ 1

The ratio of the time taken = 1/6 ∶ 1/3 ∶ 1 = 1 ∶ 2 ∶ 6

Time taken by C to cover the distance = 72 minutes

So, the time taken by A to cover the same distance = (72/6) × 1 = 12 minutes.

∴ The correct answer is 12 minutes.



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