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8 February, 10:34

A garden hose can fill a swimming pool in 4 days and a larger hose can fill the pool in 2 days. How long will it take to fill the pool if both the hoses are used?

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  1. 8 February, 10:44
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    The garden house takes 4 days, so that means it fills 1/4 of the pool per day (1/4 x 4 days = 1)

    The larger hose takes 2 days, so this means it fills 1/2 the pool per day (1/2 x 2 days = 1)

    Using both the garden hose and larger hose means 1/4 + 1/2 = 3/4 of the pool is filled in one day.

    Now we need to find X (the number of days to completely fill the pool.

    Multiply the amount per day by the number of days to equal 1 (1 pool):

    3/4 * x = 1

    To solve for x, multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:

    x = 4/3 * 1

    x = 4/3 = 1 and 1/3 days.
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