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    Question

    Pipe β€˜M’ and pipe β€˜N’ together can fill an empty

    tank in 30 hours while pipe β€˜N’ and pipe β€˜O’ together take 20 hours to fill the same tank. If the efficiency of pipe β€˜O’ is twice that of pipe β€˜M’, then find the time taken by pipe β€˜N’ to fill the tank alone.
    A 60 hrs Correct Answer Incorrect Answer
    B 36 hrs Correct Answer Incorrect Answer
    C 75 hrs Correct Answer Incorrect Answer
    D 45 hrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total capacity of the tank = 120 units Efficiency of pipes (M + N) = 120/30 = 4 units/hour Efficiency of pipes (N + O) = 120/20 = 6 units/hour Let the efficiency of pipe β€˜M’ = x units/hour Therefore, efficiency of pipe β€˜O’ = 2x units/hour Therefore, 2x – x = 6 – 4 Or, x = 2 Therefore, efficiency of pipe β€˜N’ = 4 – 2 = 2 units/hour Time taken by pipe β€˜N’ to fill the tank alone = 120/2 = 60 hours

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