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    Question

    Pipes A and B can fill a tank in 12 hours and 16 hours

    respectively, while pipe C can empty the full tank in тАШxтАЩ hours. If all three pipes are opened together, the tank gets filled in 8 hours. Find the value of тАШxтАЩ.
    A 24 hours Correct Answer Incorrect Answer
    B 32 hours Correct Answer Incorrect Answer
    C 40 hours Correct Answer Incorrect Answer
    D 48 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank = 48 liters (LCM of 12, 16, and 8)
    Amount of water filled by pipe A in one hour = 48 ├╖ 12 = 4 liters
    Amount of water filled by pipe B in one hour = 48 ├╖ 16 = 3 liters
    Amount of water filled by pipes A, B and C together in one hour = 48 ├╖ 8 = 6 liters
    Amount of water taken by pipe C alone in one hour = 4 + 3 тАУ 6 = 1 liter
    Time taken by pipe C alone to empty the tank = 48 ├╖ 1 = 48 hours

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