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    Question

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

    12 minutes and 15 minutes respectively, while pipe C can empty 10 gallons from the tank in 2 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 100 Correct Answer Incorrect Answer
    C 200 Correct Answer Incorrect Answer
    D 210 Correct Answer Incorrect Answer

    Solution

    Taking LCM of 12, 15 and 10 = 60 Efficiency of A = 5 Efficiency of B = 4 Efficiency of (A+B-C) = 6 Efficiency of C = (5 + 4) – 6 = -3 Pipe C empty the tank in = 60/3 = 20 min Capacity of the tank = 20 × (10/2) = 100 gallons

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