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    Question

    If a tank can be filled by a tap in 20 hours, but due to

    an outlet, it actually takes 8 hours longer to fill the tank, find the duration in which the outlet alone would empty the tank?
    A 70 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 63 Correct Answer Incorrect Answer

    Solution

    Let tap β€˜A’ fill the tank and tap β€˜B’ empty the tank. Taking LCM of 20 and 28 = 140 Efficiency of A = 7 Efficiency of (A – B) = 5 Efficiency of B = 7 – 5 = 2 Tap B will empty the tank = 140/2 = 70 So, tap B will empty the tank in 70 hours.

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