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      Question

      An inlet pipe can fill an empty tank in 24 minutes

      whereas an outlet pipe can empty the fully filled tank in 36 minutes. Find the time taken by both the pipes together to fill half of the empty tank.
      A 21 minutes Correct Answer Incorrect Answer
      B 31 minutes Correct Answer Incorrect Answer
      C 36 minutes Correct Answer Incorrect Answer
      D 41 minutes Correct Answer Incorrect Answer

      Solution

      Let the total capacity of tank be 72 litres (LCM of 24 and 36)
      Efficiency of inlet pipe = (72/24) = 3 litres/minute
      Efficiency of outlet pipe = (72/36) = -2 litres/minute
      Required time = (0.5 × 72) ÷ (3 - 2) = 36 minutes

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