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      Question

      Time taken by pipe 'A' to fill a tank is 30 minutes.

      When both pipes 'A' and 'B' are opened together, the tank gets filled in 10 minutes. Find the time taken by 'B' to fill the tank alone.
      A 15 minutes Correct Answer Incorrect Answer
      B 40 minutes Correct Answer Incorrect Answer
      C 30 minutes Correct Answer Incorrect Answer
      D 50 minutes Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank be 60 litres (LCM of 30 and 10).
      Efficiency of 'A' = (60/30) = 2 litres/minute
      Combined efficiency of 'A' and 'B' = (60/10) = 6 litres/minute
      Efficiency of 'B' = 6 - 2 = 4 litres/minute
      Therefore, required time = (60/4) = 15 minutes
      Hence, the answer is 15 minutes.

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