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      Question

      Two inlet pipes 'A' and 'B' can fill an empty tank in 40

      minutes and 80 minutes, respectively. Another outlet pipe 'C' can empty the tank in 160 minutes. If all the three pipes are opened together, then find the time taken by them to fill the tank.
      A 30 minutes Correct Answer Incorrect Answer
      B 32 minutes Correct Answer Incorrect Answer
      C 36 minutes Correct Answer Incorrect Answer
      D 40 minutes Correct Answer Incorrect Answer

      Solution

      Let the total capacity of the tank be 160 litres (LCM of 40, 80, and 160).
      Efficiency of 'A' = 160 รท 40 = 4 litres/minute
      Efficiency of 'B' = 160 รท 80 = 2 litres/minute
      Efficiency of 'C' = 160 รท 160 = -1 litre/minute
      Required time = 160 รท (4 + 2 - 1) = 160 รท 5 = 32 minutes

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