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    Question

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

    20 minutes and 25 minutes respectively, while pipe C can empty 7 gallons from the tank in 5 minutes. If all three pipes are operated simultaneously, and they manage to fill the tank in 12 minutes, what is the tank's capacity?
    A 120 Correct Answer Incorrect Answer
    B 100 Correct Answer Incorrect Answer
    C 200 Correct Answer Incorrect Answer
    D 210 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Taking LCM of 20, 25 and 12 = 300 Efficiency of A = 15 Efficiency of B = 12 Efficiency of (A+B-C) = 25 Efficiency of C = (15 + 12) – 25 = -2 Pipe C empty the tank in = 300/2 = 150 min Capacity of the tank = 150 × (7/5) = 210 gallons

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