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Pipe A fills a tank in 6 hours and pipe B empties it in 10 hours. Starting with A, they are opened alternately for one hour each on the empty tank. When will the tank first be full?

Competition practicePipes & Cisterns
  • A26 h 48 min
  • B27 h
  • C30 h
  • D15 h

Step-by-Step Solution

Per 2-hour cycle: . After 13 cycles (26 h) the tank holds ; A then needs min. (Earlier, A's hour never reaches the top: after 12 cycles it peaks at .) Total 26 48 min.
Answer: A) 26 h 48 min

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