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      Question

      An inlet pipe can fill an empty tank in 12 minutes

      whereas an outlet pipe can empty the fully filled tank in 18 minutes. Find the time taken by both the pipes together to fill half of the empty tank.
      A 3 minutes Correct Answer Incorrect Answer
      B 13 minutes Correct Answer Incorrect Answer
      C 18 minutes Correct Answer Incorrect Answer
      D 23 minutes Correct Answer Incorrect Answer

      Solution

      Let the total capacity of tank be 36 litres (LCM of 12 and 18)
      Efficiency of inlet pipe = (36/12) = 3 litres/minute
      Efficiency of outlet pipe = (36/18) = -2 litres/minute
      Required time = (0.5 × 36) ÷ (3 - 2) = 18 minutes

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