A swimming pool can be filled in 15 hours if water enters through a pipe​ alone, or in 23 hours if water enters through a hose alone. If wat

Question

A swimming pool can be filled in 15 hours if water enters through a pipe​ alone, or in 23 hours if water enters through a hose alone. If water is entering through both the pipe and the​ hose, how long will it take to fill the​ pool?

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Madelyn 2 weeks 2021-09-11T09:43:48+00:00 2 Answers 0

Answers ( )

    0
    2021-09-11T09:45:06+00:00

    Answer:

    9.08 hours

    Step-by-step explanation:

    in order to fill 1 pool

    fill rate by pipe = 1 pool / 15 hours = 1/15 pool per hour

    fill rate by hose = 1 pool / 23 hours = 1/23 pool per hour

    combined rate = fill rate by pipe + fill rate by pool

    = 1/15 + 1/23 = 38/345 pool per hour

    since:

    38/345 pool ———–>  will take 1 hour

    1 pool ——————–> will take 1 hour x (345/38) = 9.08 hours

    0
    2021-09-11T09:45:47+00:00

    Answer:

    9.08 hours

    Step-by-step explanation:

    (23×15)/(23+15)

    345/38

    9.08 hours

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