A sportive young hare and a 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?
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