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    Question

    A and B can fill a tank in 25 and 30 hours respectively.

    C empties it in тАШxтАЩ hours. With all three open, the tank is filled in 15 hours. Find тАШxтАЩ.
    A 90 hours Correct Answer Incorrect Answer
    B 100 hours Correct Answer Incorrect Answer
    C 120 hours Correct Answer Incorrect Answer
    D 150 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank = 150 liters (LCM of 25, 30, and 15)
    Amount of water filled by pipe A in one hour = 150 ├╖ 25 = 6 liters
    Amount of water filled by pipe B in one hour = 150 ├╖ 30 = 5 liters
    Amount of water filled by pipes A, B and C together in one hour = 150 ├╖ 15 = 10 liters
    Amount of water taken by pipe C alone in one hour = 6 + 5 тАУ 10 = 1 liter
    Time taken by pipe C alone to empty the tank = 150 ├╖ 1 = 150 hours

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