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    Question

    If a tank can be filled by a tap in 12 hours, but due to

    an outlet, it actually takes 6 hours longer to fill the tank, find the duration in which the outlet alone would empty the tank?
    A 30 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 60 Correct Answer Incorrect Answer
    E 42 Correct Answer Incorrect Answer

    Solution

    Let tap тАШAтАЩ fill the tank and tap тАШBтАЩ empty the tank. Taking LCM of 12 and 18 = 36 Efficiency of A = 3 Efficiency of (A тАУ B) = 2 Efficiency of B = 3 тАУ 2 = 1 Tap B will empty the tank = 36/1 = 36 So, tap B will empty the tank in 36 hours.

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