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      Question

      Pipe β€˜X’ and pipe β€˜Y’ together can fill an empty

      tank in 24 hours while pipe β€˜Y’ and pipe β€˜Z’ together take 15 hours to fill the same tank. If the efficiency of pipe β€˜Z’ is twice that of pipe β€˜X’, then find the time taken by pipe β€˜Y’ to fill the tank alone.
      A 60 hrs Correct Answer Incorrect Answer
      B 35 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 (X + Y) = 120/24 = 5 units/hour Efficiency of pipes (Y + Z) = 120/15 = 8 units/hour Let the efficiency of pipe β€˜X’ = x units/hour Therefore, efficiency of pipe β€˜Z’ = 2x units/hour Therefore, 2x – x = 8 – 5 Or, x = 3 Therefore, efficiency of pipe β€˜Y’ = 5 – 3 = 2 units/hour Time taken by pipe β€˜Y’ to fill the tank alone = 120/2 = 60 hours

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