Multiple choice

A rat covers the distance directly as the square of the time taken to cover that distance. The distance covered by one rat in 5 seconds is 4 m more than the other which runs for just 3 seconds with the same speed. The time taken by a rat to cover the distance of 12 m is ___________.

  1. 4 3 sec

  2. 2 sec

  3. 3 3 sec

  4. 3 sec
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A Correct answer
Explanation

Let distance be kt^2. Since the difference between the distances in 5 seconds and 3 seconds is 4 m, 16k = 4, so k = 1/4. For a distance of 12 m, t^2/4 = 12, giving t = 4sqrt(3) seconds.

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