[more than 5 times] A supportive young hare and tortoise raced in opposite directions around a circular track that was 1

A supportive young hare and tortoise raced in opposite directions around a circular track that was 100 yards in diameter. They started at the same spot, but the hare did not move until the tortoise had a start of one eighth of the distance ( that is, the circumference of the circle). The hare held such a poor opinion of the other’s racing ability that he sauntered along, nibbling the grass until he met the tortoise. At this point the hare had gone one sixth of the distance. How many times faster than he went before must the hare now run in order to win the race ?

more than 7 times

more than 8 times

more than 5 times

5 times

Explanation:
The hare and the tortoise are at the same point when hare have to cover 5/6 of the distance and tortoise have to cover 1/6 of the distance to complete the race.
If x is the speed of tortoise then itll take 1/(6 x) time to finish.
So, hare will have to run more then 5 times the speed of tortoise to win the race.

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