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    Question

    Two pipes, A and B, can independently fill the tank in

    25 minutes and 30 minutes respectively, while pipe C can empty 8 gallons from the tank in 4 minutes. If all three pipes are operated simultaneously, and they manage to fill the tank in 15 minutes, what is the tank's capacity?
    A 120 Correct Answer Incorrect Answer
    B 300 Correct Answer Incorrect Answer
    C 105 Correct Answer Incorrect Answer
    D 450 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Taking LCM of 25, 30 and 15 = 150 Efficiency of A = 6 Efficiency of B = 5 Efficiency of (A+B-C) = 10 Efficiency of C = (6 + 5) – 10 = -1 Pipe C empty the tank in = 150/1 = 150 min Capacity of the tank = 150 × (8/4) = 300 gallons

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