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      Question

      Pipe β€˜A’ and pipe β€˜B’ can fill a cistern in 20

      minutes and 15 minutes respectively. Pipe β€˜C’ alone can empty the cistern in 10 minutes. If all three pipes are opened together then what is the time taken to fill 25% of the cistern? ty-ssc
      A 24minute Correct Answer Incorrect Answer
      B 15minute Correct Answer Incorrect Answer
      C 18minute Correct Answer Incorrect Answer
      D 12minute Correct Answer Incorrect Answer

      Solution

      Let the capacity of the cistern = 60 units Then, efficiency of pipe β€˜A’ = 60/20 = 3 units/minute Efficiency of pipe β€˜B’ = 60/15 = 4 units/minute Efficiency of pipe β€˜C’ = 60/10 = 6 units/minute So, combined efficiency of pipes β€˜A’, β€˜B’ and β€˜C’ = 3 + 4 – 6 = 1 units/minute 25% of the cistern’s capacity = 15 units Therefore, time taken by all 3 pipes together to fill 25% of the cistern = 15/1 = 15 minutes

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