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Pipe A fills a tank in 6 hours, pipe B in 9 hours, and pipe C empties it in 18 hours. They work one at a time for an hour each in the order A, B, C, A, B, C, … on the empty tank. When is the tank first full?

Competition practicePipes & Cisterns
  • A12 h 40 min
  • B13 h
  • C12 h
  • D13 h 30 min

Step-by-Step Solution

In 18ths: A 3, B 2, C −1; one 3-hour round gives 4. After 4 rounds (12 h): 16; A needs 2 of its 3 → 40 min. Total 12 h 40 min.
Answer: A) 12 h 40 min

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