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An overhead tank fills through its inlet in 12 hours, and its outlet can empty it when full in 14 hours. If both are left open on the empty tank, how long until it overflows? (hours)

Competition practiceTime & Work / Pipes
  • A84
  • B26
  • C2
  • D42

Step-by-Step Solution

Net rate = 1/12 − 1/14 = 7/84 − 6/84 = 1/84 tank per hour, so it fills in 84 hours.
Answer: A) 84

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