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An inlet fills a tank in 6 hours and an outlet empties it in 9 hours. The inlet stays open, while the outlet is open and shut in alternate hours, starting open in the first hour. How long does the empty tank take to fill?

Competition practicePipes & Cisterns
  • A9 h
  • B10 h
  • C9 h 40 min
  • D9 h 20 min

Step-by-Step Solution

In 18ths: open hour , shut hour 3; each 2-hour cycle gives 4. After 8 h: 16; hour 9 (open): 17; hour 10 (shut) needs 1 of 3 → 20 min. Total 9 h 20 min.
Answer: D) 9 h 20 min

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