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      Question

      Two inlet pipes 'A' and 'B' can fill an empty tank in 60

      minutes and 90 minutes, respectively. Another outlet pipe 'C' can empty the tank in 180 minutes. If all the three pipes are opened together, then find the time taken by them to fill the tank.
      A 40 minutes Correct Answer Incorrect Answer
      B 42 minutes Correct Answer Incorrect Answer
      C 44 minutes Correct Answer Incorrect Answer
      D 45 minutes Correct Answer Incorrect Answer
      E 46 minutes Correct Answer Incorrect Answer

      Solution

      Let the total capacity of the tank be 180 litres (LCM of 60, 90, and 180).
      Efficiency of 'A' = 180 รท 60 = 3 litres/minute
      Efficiency of 'B' = 180 รท 90 = 2 litres/minute
      Efficiency of 'C' = 180 รท 180 = -1 litre/minute
      Required time = 180 รท (3 + 2 - 1) = 180 รท 4 = 45 minutes

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