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Select the correct answerA 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?Options1 : 41 : 22 : 14 : 1

Question

Select the correct answerA 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?Options1 : 41 : 22 : 14 : 1

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Solution

The speed of an object is determined by the distance it travels divided by the time it takes to travel that distance.

Let's denote:

  • the distance the cyclist travels as D,
  • the time it takes the cyclist as T,
  • the speed of the cyclist as S_c,
  • the speed of the jogger as S_j.

From the problem, we know that the cyclist's speed S_c = D/T.

The jogger travels half the distance in double the time, so his speed S_j = (D/2) / (2T) = D / 4T.

The ratio of the speed of the jogger to that of the cyclist is S_j / S_c = (D / 4T) / (D/T) = 1/4.

So, the correct answer is 4 : 1.

This problem has been solved

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