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    Question

    Pipe A and Pipe B can fill a tank in 10 hours and 12 hours

    respectively. Pipe C can empty the tank in ‘x’ hours. If all three pipes are opened together, the tank fills in 5 hours. Find the value of ‘x’.
    A 30 hours Correct Answer Incorrect Answer
    B 40 hours Correct Answer Incorrect Answer
    C 50 hours Correct Answer Incorrect Answer
    D 60 hours Correct Answer Incorrect Answer
    E 70 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank = 60 liters (LCM of 10, 12, and 5)
    Amount of water filled by pipe A in one hour = 60 ÷ 10 = 6 liters
    Amount of water filled by pipe B in one hour = 60 ÷ 12 = 5 liters
    Amount of water filled by pipes A, B and C together in one hour = 60 ÷ 5 = 12 liters
    Amount of water taken by pipe C alone in one hour = 6 + 5 – 12 = 1 liter
    Time taken by pipe C alone to empty the tank = 60 ÷ 1 = 60 hours

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