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An inlet pipe can fill a cistern in 12 hours and an outlet can empty the full cistern in 28 hours. Starting empty with both open, after how many hours is the cistern full?

Competition practiceTime & Work / Pipes
  • A21
  • B40
  • C8.4
  • D16

Step-by-Step Solution

Net fill rate = 1/12 − 1/28 = 7/84 − 3/84 = 4/84 = 1/21 per hour, so it is full after 21 hours.
Answer: A) 21

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