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    Question

    Pipe тАШAтАЩ takes 24 hours to fill a tank. Pipe тАШBтАЩ

    takes 72 hours to empty the same tank. If both are opened together, how long will it take to fill 66.67% of the tank?
    A 25 hours Correct Answer Incorrect Answer
    B 40 hours Correct Answer Incorrect Answer
    C 38 hours Correct Answer Incorrect Answer
    D 24 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank be 216 litres. So, efficiency of pipe тАШAтАЩ = 216 ├╖ A = 9 litres/hour And efficiency of pipe тАШBтАЩ = 216 ├╖ B = 3 litres/hour So, combined efficiency of both pipes = 9 тАУ 3 = 6 litres/hour So, time taken to fill 66% of the tank = (216 ├Ч 0.67) ├╖ 6 = 144 ├╖ 6 = 24 hours

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