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 :

A. 1 : 2

B. 2 : 1

C. 1 : 4

D. 4 : 1

Answer: Option C

Solution(By Examveda Team)

Let the distance covered by the cyclist be x and the time taken be y
Then, required ratio :
$$\eqalign{ & = \frac{{\frac{1}{2}x}}{{2y}}:\frac{x}{y} \cr & = \frac{1}{4}:1 \cr & = 1:4 \cr} $$