a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it in 10 hours.

Question

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it in 10 hours. how long will it take to fill the vat if both pipes are left open? (in hours)

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Nem 4 years 2021-09-02T07:57:36+00:00 1 Answers 16 views 0

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  1. thuthuy
    0
    2021-09-02T07:58:41+00:00
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    Answer:

    15 hours

    Step-by-step explanation:

    1vat/6hours – 1vat/10hours = 1vat/xhours

    1/6 – 1/10 = 1/x

    Use common denominator of 30

    5/30 – 3/30 = 1/x

    2/30 = 1/x

    1/15 = 1/x

    Cross multiply

    x = 15 hours

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