July 2022
Problem of the Month

The Tortoise and the Hare



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?




Send your solution by the end of the month to: mathpage@gmail.com