Algebra

Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 14 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?

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  1. in 6 hrs, the old pump drains 6/14 of the pool
    ... so the newer pump drains 8/14 in 6 hr

    (8/14) / 6 = 1 / x ... x = 6 / (8/14)

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  2. adding up the amount each pump can do in an hour, we have
    1/14 + 1/x = 1/6

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    oobleck

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