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    Question

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

    15 minutes and 25 minutes respectively, while pipe C can empty 9 gallons from the tank in 3 minutes. If all three pipes are operated simultaneously, and they manage to fill the tank in 10 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

    Solution

    Taking LCM of 15, 25 and 10 = 150 Efficiency of A = 10 Efficiency of B = 6 Efficiency of (A+B-C) = 15 Efficiency of C = (10 + 6) – 15 = -1 Pipe C empty the tank in = 150/1 = 150 min Capacity of the tank = 150 × (9/3) = 450 gallons

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