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a policeman is pursuing a snatcher who is ahead by 72 of his own leaps. the snatcher takes 6 leaps while the cop takes 5 leaps, but 4 leaps of the snatcher are as long as 3 leaps of the cop. how many leaps will the cop make before he catches the snatcher?

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  1. Let's say the cop's leaps are 4 ft, while the snatcher's are 3 feet,

    and the cop's leaps take 6 seconds, while the snatcher's take 5 seconds.

    So, after x seconds, the distances and times must match up:

    (x/6)(4) = (x/5)(3) + 72*3
    x = 3240

    So, it will take 3240/6 = 540 cop leaps to ctahc up.

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