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      Question

      Pipe β€˜A’ fills a tank in 25 hours, and pipe β€˜B’

      empties it in 50 hours. If both are opened together, how much time will it take to fill 80% of the tank?
      A 36 hours Correct Answer Incorrect Answer
      B 38 hours Correct Answer Incorrect Answer
      C 40 hours Correct Answer Incorrect Answer
      D 42 hours Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank be 100 litres.So, efficiency of pipe β€˜A’ = 100 Γ· A = 4 litres/hour And efficiency of pipe β€˜B’ = 100 Γ· B = 2 litres/hour So, combined efficiency of both pipes = 4 – 2 = 2 litres/hour So, time taken to fill 80% of the tank = (100 Γ— 0.80) Γ· 2 = 80 Γ· 2 = 40 hours

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