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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?Options4 : 11 : 41 : 22 : 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?Options4 : 11 : 41 : 22 : 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 covers as D,
  • the time it takes the cyclist as T,
  • the speed of the cyclist as S_c.

So, we have S_c = D/T.

Now, the jogger covers half the distance in double the time. So:

  • the distance the jogger covers is D/2,
  • the time it takes the jogger is 2T,
  • the speed of the jogger as S_j.

So, we have S_j = (D/2) / (2T) = D / (4T).

Now, we want to find the ratio of the speed of the jogger to that of the cyclist, which is S_j / S_c.

Substituting the expressions we found for S_j and S_c, we get:

S_j / S_c = (D / (4T)) / (D/T) = 1/4.

So, the ratio of the speed of the jogger to that of the cyclist is 1 : 4.

This problem has been solved

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