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    Question

    Pipe X requires 12 hours to fill

    2/3 of a tank, whereas pipe Y can empty the entire tank in 24 hours. If both pipes are opened simultaneously, how long will it take to fill 75% of an empty tank?
    A 54 hrs Correct Answer Incorrect Answer
    B 65 hrs Correct Answer Incorrect Answer
    C 45 hrs Correct Answer Incorrect Answer
    D 37 hrs Correct Answer Incorrect Answer

    Solution

    ATQ, Time taken by pipe тАШXтАЩ to fill the tank completely = 12 ├Ч (3/2) = 18 hours Time taken by pipe тАШYтАЩ to empty the tank = 24 hours Let the capacity of the tank be 72 units Efficiency of pipe тАШXтАЩ = 72/18 = 4 units/hour Efficiency of pipe тАШYтАЩ = 72/24 = 3 units/hour Therefore, time taken by pipes тАШXтАЩ and тАШYтАЩ to fill 75% of the tank = {(0.75 ├Ч 72)/(4 тАУ 3)} = 54 hours

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