A sportive young hare and a tortoise raced in opposite directions around a circular track that was 100 yards in diameter.
They started in the same spot but the hare did not move until the tortoise had a head start of 1/8 of the distance (that is,
the circumference of the circle).
The hare held such a poor opinion of the tortoise's racing ability that he sauntered along, nibbling the grass, until he met the tortoise.
At this point, the hare had gone 1/6 of the distance.
How many times faster than he went before must the hare now run in order to win the race?