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      Question

      Pipe β€˜A’ takes 60 hours to fill a tank. Pipe

      β€˜B’ takes 120 hours to empty it. If both are opened together, find the time required to fill 50% of the tank.
      A 55 hours Correct Answer Incorrect Answer
      B 60 hours Correct Answer Incorrect Answer
      C 58 hours Correct Answer Incorrect Answer
      D 62 hours Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank be 240 litres.So, efficiency of pipe β€˜A’ = 240 Γ· A = 4 litres/hour And efficiency of pipe β€˜B’ = 240 Γ· B = 2 litres/hour So, combined efficiency of both pipes = 4 – 2 = 2 litres/hour So, time taken to fill 50% of the tank = (240 Γ— 0.50) Γ· 2 = 120 Γ· 2 = 60 hours

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