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      Question

      Two pipes X and Y can fill a tank in 90 minutes and 60

      minutes respectively. A third pipe Z can empty the tank in 2 hours 30 minutes. X is kept closed. Y and Z are opened together. After 40 minutes, Y is closed and X is opened. How much total time will it take to fill the tank?
      A 142 mins Correct Answer Incorrect Answer
      B 175 mins Correct Answer Incorrect Answer
      C 185 mins Correct Answer Incorrect Answer
      D 165 mins Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the tank capacity be 900 litres (LCM of 90, 60 and 150) Efficiency of 'X' = 900 ├╖ 90 = 10 litres/minute Efficiency of 'Y' = 900 ├╖ 60 = 15 litres/minute Efficiency of 'Z' = 900 ├╖ 150 = -6 litres/minute Water filled in 40 minutes = (15 - 6) ├Ч 40 = 360 litres Remaining = 900 - 360 = 540 litres Time to fill remaining = 540 ├╖ (10 - 6) = 135 minutes Total time = 40 + 135 = 175 minutes

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