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      Question

      Pipe 'A' and 'B' can fill a tank in 1 hour 30 minutes

      and 2 hours respectively. 'A' is opened alone. After 24 minutes, 'A' is closed and 'B' is opened. Find the time taken by 'B' to fill the remaining tank.
      A 48 minutes Correct Answer Incorrect Answer
      B 56 minutes Correct Answer Incorrect Answer
      C 60 minutes Correct Answer Incorrect Answer
      D 64 minutes Correct Answer Incorrect Answer
      E 88 minutes Correct Answer Incorrect Answer

      Solution

      Let the total capacity of tank be 360 litres (LCM of 90 and 120) Efficiency of 'A' = (360/90) = 4 litres/minute Efficiency of 'B' = (360/120) = 3 litres/minute Tank filled by 'A' = 4 × 24 = 96 litres Remaining part of the tank = 360 − 96 = 264 litres Required time = (264/3) = 88 minutes

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