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      Question

      Pipe β€˜E’ alone can fill a tank in 15 hours. When

      pipe β€˜E’ and β€˜F’ are opened together, they can fill 90% of the same tank in 9 hours. Find the time taken by pipe β€˜F’ alone to fill 40% of the same tank.
      A 24 hrs Correct Answer Incorrect Answer
      B 18 hrs Correct Answer Incorrect Answer
      C 12 hrs Correct Answer Incorrect Answer
      D 16 hrs Correct Answer Incorrect Answer

      Solution

      ATQ; Time taken by pipes β€˜E’ and β€˜F’ together to fill 100% of the tank = 9 Γ· 0.9 = 10 hours Let the capacity of the tank be 60 litres. {LCM (15 and 10)} Efficiency of pipe β€˜E’ = (60/15) = 4 litres/hour Efficiency of pipe β€˜E’ and β€˜F’ together = (60/10) = 6 litres/hour Efficiency of pipe β€˜F’ = 6 – 4 = 2 litres/hour Time taken by pipe β€˜F’ to fill 40% of the tank = (60 Γ— 0.4)/2 = 12 hours

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