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    Question

    Pipes β€˜A’ and β€˜B’ together can fill a tank in 18

    hours, while pipe β€˜B’ alone can fill it in 36 hours. If pipe β€˜C’ takes 12 hours less than pipe β€˜A’ to fill the tank, then how much percent more/less efficient is pipe β€˜C’ compared to pipe β€˜B’?
    A 25% Correct Answer Incorrect Answer
    B 45% Correct Answer Incorrect Answer
    C 50% Correct Answer Incorrect Answer
    D 38% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the capacity of the tank be 72 units (LCM of 18 and 36). Efficiency of pipes (A + B) = 72/18 = 4 units/hour. Efficiency of pipe β€˜B’ = 72/36 = 2 units/hour. Efficiency of pipe β€˜A’ = 4 - 2 = 2 units/hour. Time taken by pipe β€˜A’ = 72/2 = 36 hours. Time taken by pipe β€˜C’ = 36 - 12 = 24 hours. Efficiency of pipe β€˜C’ = 72/24 = 3 units/hour. Required percentage = ((3 - 2)/2) Γ— 100 = 50%. Final Answer: Pipe C is 50% more efficient than pipe B.

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