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      Question

      An inlet pipe can fill an empty tank in 50 minutes

      whereas an outlet pipe can empty the fully filled tank in 75 minutes. Find the time taken by both the pipes together to fill half of the empty tank.
      A 60 minutes Correct Answer Incorrect Answer
      B 70 minutes Correct Answer Incorrect Answer
      C 75 minutes Correct Answer Incorrect Answer
      D 80 minutes Correct Answer Incorrect Answer

      Solution

      Let the total capacity of tank be 150 litres (LCM of 50 and 75)
      Efficiency of inlet pipe = (150/50) = 3 litres/minute
      Efficiency of outlet pipe = (150/75) = -2 litres/minute
      Required time = (0.5 × 150) ÷ (3 - 2) = 75 minutes

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