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    Question

    Pipe A and B can fill a tank in 36 and 45 hours. Pipe C

    can empty the tank in тАШxтАЩ hours. If all three are opened, the tank is filled in 60 hours. Find x.
    A 24 hours Correct Answer Incorrect Answer
    B 28 hours Correct Answer Incorrect Answer
    C 30 hours Correct Answer Incorrect Answer
    D 36 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank = 180 liters (LCM of 36, 45, and 60)
    Amount of water filled by pipe A in one hour = 180 ├╖ 36 = 5 liters
    Amount of water filled by pipe B in one hour = 180 ├╖ 45 = 4 liters
    Amount of water filled by pipes A, B and C together in one hour = 180 ├╖ 60 = 3 liters
    Amount of water taken by pipe C alone in one hour = 5 + 4 тАУ 3 = 6 liters
    Time taken by pipe C alone to empty the tank = 180 ├╖ 6 = 30 hours

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