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Zeno in the Wild West

A stole a horse from B and made off with him. Five days afterward, B gets intelligence of A, and follows him at the rate of 60 miles a day, by which he gains 20% upon A. How far must B ride to overtake A, and how many days?

A Side Note: Why does this problem sound impossible, at least for those who know about the Achille's tortise-hare problem (i.e. one of Zeno's Paradoxes?

Solution:

Source: Hagar's Common School Arithmetic, (1871, p. 324)