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      Question

      Pipe β€˜A’ can fill a tank in 45 hours. Pipe β€˜B’

      can empty the same tank in 90 hours. If both are opened simultaneously, how long will it take to fill 60% of the tank?
      A 40 hours Correct Answer Incorrect Answer
      B 36 hours Correct Answer Incorrect Answer
      C 48 hours Correct Answer Incorrect Answer
      D 54 hours Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank be 180 litres. So, efficiency of pipe β€˜A’ = 180 Γ· A = 4 litres/hour And efficiency of pipe β€˜B’ = 180 Γ· B = 2 litres/hour So, combined efficiency of both pipes = 4 – 2 = 2 litres/hour So, time taken to fill 60% of the tank = (180 Γ— 0.60) Γ· 2 = 108 Γ· 2 = 54 hours

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