The Ant Race

Two ants are 100 paces apart, crawling back and forth along the same path.  The first goes 1/3 pace forward a day and returns 1/4 pace; the other goes forward 1/5 pace and returns 1/6 pace.  How many days before the first ant overtakes the second?

Liber Abaci, Leonardo of Pisa, 1202

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