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    Question

    A and B fill a tank in 6 and 8 hours. Pipe C empties it

    in ‘x’ hours. All three open together fill the tank in 4 hours. Find x.
    A 18 hours Correct Answer Incorrect Answer
    B 20 hours Correct Answer Incorrect Answer
    C 22 hours Correct Answer Incorrect Answer
    D 24 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank = 24 liters (LCM of 6, 8, and 4)
    Amount of water filled by pipe A in one hour = 24 ÷ 6 = 4 liters
    Amount of water filled by pipe B in one hour = 24 ÷ 8 = 3 liters
    Amount of water filled by pipes A, B and C together in one hour = 24 ÷ 4 = 6 liters
    Amount of water taken by pipe C alone in one hour = 4 + 3 – 6 = 1 liter
    Time taken by pipe C alone to empty the tank = 24 ÷ 1 = 24 hours

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