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A hotel's water tank is filled by an inlet in 7 hours and emptied by an outlet in 21 hours. Starting with an empty tank, how many hours will it take to fill if both are left open?

Competition practiceTime & Work / Pipes
  • A10.5
  • B14
  • C5.25
  • D28

Step-by-Step Solution

Net rate = 1/7 − 1/21 = 2/21 of the tank per hour, so it fills in 21/2 = 10.5 hours.
Answer: A) 10.5

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