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    Pipe A and Pipe B alone can fill the tank in 12 hours and 36 hours respectively. Pipe C alone can empty the fully filled tank in 18 hours. If Pipe A,
    Question


    Pipe A and Pipe B alone can fill the tank in 12 hours and 36 hours respectively. Pipe C alone can empty the fully filled tank in 18 hours. If Pipe A, B and C open together at 11: 00 am and after some hours pipe C is closed, then the remaining tank is filled by A and B both in 7 hours. Find at what time pipe C is closed.

    A.

    3:00 pm

    B.

    3:30 pm

    C.

    4: 00 pm

    D.

    4: 30 pm

    E.

    5: 00 pm

    Correct option is A


    Total work = LCM (12,18,36) = 36 units
    Efficiency of A = 36/12=3 units/hour
    Efficiency of B = 36/36=1 units/hour
    Efficiency of C = 36/18=2 units/hour
    Let all the pipe is opened for X hours
    ATQ,
    (3-2+1) ×X + 7 × 4 = 36
    2X = 8
    X = 4
    At 3:00 PM pipe C is closed.

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