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    Pipes A and B can fill a tank in 10 hours and 15 hours, respectively, and pipe C can empty the filled tank in 20 hours. If all three pipes opened toge
    Question

    Pipes A and B can fill a tank in 10 hours and 15 hours, respectively, and pipe C can empty the filled tank in 20 hours. If all three pipes opened together, then in how many hours would the tank be filled?

    A.

    47/7

    B.

    52/7

    C.

    66/7

    D.

    33/7

    E.

    60/7

    Correct option is E

    Let the capacity of the tank (LCM of 10, 15 and 20) = 60 units
    Efficiency of pipes A = 60/10 = 6 units/hour
    Efficiency of pipes B = 60/15 = 4 units/hour
    Efficiency of pipe C = 60/20 = 3 units/hour (outlet pipe)
    Required time = 606+43=607\frac{60}{6 + 4 - 3} = \frac{60}{7}​ hours

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