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An inlet fills a tank in 20 hours and an outlet empties it in 30 hours. They are opened alternately for 1 hour each, inlet first, on an empty tank. After how many hours is it full?

Competition practiceTime & Work / Pipes
  • A120 hours
  • B115 hours
  • C114 hours
  • D60 hours

Step-by-Step Solution

Each 2-hour pair adds . After 57 pairs (114 h) the tank is full; the inlet's next hour adds , exactly enough. So 115 hours.
Answer: B) 115 hours

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