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    Question

    Pipe β€˜G’ and pipe β€˜H’ together can fill an empty

    tank in 40 hours while pipe β€˜H’ and pipe β€˜I’ together take 25 hours to fill the same tank. If the efficiency of pipe β€˜I’ is twice that of pipe β€˜G’, then find the time taken by pipe β€˜H’ 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 = 200 units Efficiency of pipes (G + H) = 200/40 = 5 units/hour Efficiency of pipes (H + I) = 200/25 = 8 units/hour Let the efficiency of pipe β€˜G’ = x units/hour Therefore, efficiency of pipe β€˜I’ = 2x units/hour Therefore, 2x – x = 8 – 5 Or, x = 3 Therefore, efficiency of pipe β€˜H’ = 5 – 3 = 2 units/hour Time taken by pipe β€˜H’ to fill the tank alone = 200/2 = 100 hours

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