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Racing by Leaps and Hounds, Winning By A Hare

A hare is 50 leaps before a grey hound, and takes 4 leaps to the grey hound's 3; but 2 of the grey hound's leaps are as much as 3 of the hare's; how many leaps must the grey hound take to catch the hare?

Solution: The book gives the answer of 300.

Source: Samuel Webber's Mathematics Compiled from the Best Authors, 1808, p. 314.