Multiple choice

A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is -

  1. 1 : 4

  2. 4 : 1

  3. 1 : 2

  4. 2 : 1
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A Correct answer
Explanation

Let the cyclist's speed be v and time be t, so distance d = vt. The jogger covers d/2 distance in 2t time, so jogger's speed = (d/2)/(2t) = d/4t = v/4. Therefore, jogger's speed : cyclist's speed = v/4 : v = 1 : 4.

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