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    Question

    Pipes A and B can fill the tank in 16 and 20 hours

    respectively. Pipe C empties it in ‘x’ hours. If all are opened together, the tank gets filled in 8 hours. Find ‘x’.
    A 40 hours Correct Answer Incorrect Answer
    B 60 hours Correct Answer Incorrect Answer
    C 70 hours Correct Answer Incorrect Answer
    D 80 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank = 80 liters (LCM of 16, 20, and 8)
    Amount of water filled by pipe A in one hour = 80 ÷ 16 = 5 liters
    Amount of water filled by pipe B in one hour = 80 ÷ 20 = 4 liters
    Amount of water filled by pipes A, B and C together in one hour = 80 ÷ 8 = 10 liters
    Amount of water taken by pipe C alone in one hour = 5 + 4 – 10 = 1 liter
    Time taken by pipe C alone to empty the tank = 80 ÷ 1 = 80 hours

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