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A tank has two inlet pipes that can fill it in 10 hours and 15 hours, and an outlet pipe that can empty it in 30 hours. If all three are opened together, how long (in hours) will it take to fill the tank?

Competition practiceTime & Work / Pipes
  • A8
  • B7.5
  • C5
  • D6

Step-by-Step Solution

Net rate = 1/10 + 1/15 - 1/30 = 4/30 = 2/15 tank per hour. Time = 15/2 = 7.5 hours.
Answer: B) 7.5

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