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    Question

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

    18 minutes and 20 minutes respectively, while pipe C can empty 8 gallons from the tank in 3 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

    Solution

    Taking LCM of 18, 20 and 12 =180 Efficiency of A = 10 Efficiency of B = 9 Efficiency of (A+B-C) = 15 Efficiency of C = (10 + 9) – 15 = -4 Pipe C empty the tank in = 180/4 = 45 min Capacity of the tank = 45 × (8/3) = 120 gallons

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