Question

    If a tank can be filled by a tap in 16 hours, but due to an outlet, it actually takes 4 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 80 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 63 Correct Answer Incorrect Answer
    E 42 Correct Answer Incorrect Answer

    Solution

    Let tap ‘A’ fill the tank and tap ‘B’ empty the tank. Taking LCM of 16 and 20 = 80 Efficiency of A = 5 Efficiency of (A – B) = 4 Efficiency of B = 5 – 4 = 1 Tap B will empty the tank = 80/1 = 80 So, tap B will empty the tank in 80 hours.

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