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      Question

      Pipe β€˜P’ alone can fill a tank in 12 hours. When

      pipe β€˜P’ and β€˜Q’ are opened together, they can fill 75% of the same tank in 9 hours. Find the time taken by pipe β€˜Q’ alone to fill 60% of the same tank.
      A 25 hrs Correct Answer Incorrect Answer
      B 48 hrs Correct Answer Incorrect Answer
      C 22 hrs Correct Answer Incorrect Answer
      D Can’t be determined Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ; Time taken by pipes β€˜P’ and β€˜Q’ together to fill 100% of the tank = 9 Γ· 0.75 = 12 hours Let the capacity of the tank be 60 litres. {LCM (12 and 12)} Efficiency of pipe β€˜P’ = (60/12) = 5 litres/hour Efficiency of pipe β€˜P’ and β€˜Q’ together = (60/12) = 5 litres/hour Efficiency of pipe β€˜Q’ = 5 – 5 = 0 litres/hour Time taken by pipe β€˜Q’ to fill 60% of the tank = (60 Γ— 0.6)/0 = Undefined (This scenario is not possible, as pipe β€˜Q’ has no efficiency.)

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