Question

A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has coverd 1/4 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance.By what factor should the hare increse its speed so as to tie the race?

 A. 25 B. 35 C. 22 D. 37

Explanation

Diameter of the circle = 100 yards
thus perimeter of the circle is 100*3.14 yards
distance covered by tortoise when both meet =7/8 of total
speed of hare is 1/8of total per unit
and speed of tortoise is 5/8 of total per unit of time
to tie the race hare should complete 7/8 of total distance in the time tortoise completes 1/8 of total distance
time taken by tortoise to complete 1/8 of total distance =1/5unit of time
required speed of hare =35/8of total distance per unit of time
thus hare should increase its speed 35 times to tie the race

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