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      Question

      Pipe β€˜A’ can fill a 240-litre tank in 15 hours. If

      pipe β€˜A’ is 25% more efficient than pipe β€˜C’ whereas pipe β€˜B’ is 50% more efficient than pipe β€˜C’, then find the time (in minutes) taken by all the given three pipes to fill the same tank together.
      A 300 minutes Correct Answer Incorrect Answer
      B 180 minutes Correct Answer Incorrect Answer
      C 120 minutes Correct Answer Incorrect Answer
      D 210 minutes Correct Answer Incorrect Answer

      Solution

      ATQ, Pipe A’s rate = 240/15 = 16 L/hr A = 1.25C β‡’ C’s rate = 16/1.25 = 12.8 L/hr B = 1.5C β‡’ B’s rate = 1.5Γ—12.8 = 19.2 L/hr Total rate = 16 + 12.8 + 19.2 = 48 L/hr Time = 240/48 = 5 hr = 300 minutes

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