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An inlet fills an empty sump in 6 hours and an outlet empties the full sump in 14 hours. If both are opened together on the empty sump, after how many hours will it be full?

Competition practiceTime & Work / Pipes
  • A10.5
  • B8
  • C4.2
  • D20

Step-by-Step Solution

Net rate = 1/6 - 1/14 = (7 - 3)/42 = 4/42 = 2/21 sump per hour, so it is full after 21/2 = 10.5 hours.
Answer: A) 10.5

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