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12 March, 22:21

With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hours. How long would it take to fill the pool if both hoses were used simultaneously?

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  1. 12 March, 22:25
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    1/9 + 1/2 = 1/x

    Let x = length of time it will take both hoses to work together

    Multiply both sides by 18x.

    2x + 9x = 18

    10x = 18

    x = 18/10

    x = 9/5

    x = 1.8 hours

    In other words, if both hoses work together, the pool can be filled in 1 hour and 48 minutes.
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