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    Question

    Two pipes can fill a tank in 12 and 10 minutes

    respectively. A waste pipe is used to empty the tank. All three pipes working together can fill the tank in 16 minutes. How much time is taken by the waste pipe to empty the full tank?
    A 150 minutes Correct Answer Incorrect Answer
    B 120 minutes Correct Answer Incorrect Answer
    C 100 minutes Correct Answer Incorrect Answer
    D 180 minutes Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Alternate Method: Let waste or leak pipe = C A B A+B+C Time 12 10 16 Let capacity of total tank = LCM (12,10 & 16) = 240 L Eff 20 : 24 : 15 So Leak can empty in 1 hr = A+B+C - (A+B) = 15 - (20+24) = -29 L Hence leak can empty the tank in = 240/29 hours

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