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Pipe A fills a tank in 3 minutes; pipe B empties it in 6 minutes. Starting with A, they are opened alternately for 1 minute each. When will the empty tank first be full?

Competition practicePipes & Cisterns
  • A10 min
  • B8 min
  • C9 min
  • D12 min

Step-by-Step Solution

Each 2-minute cycle adds . After 4 cycles (8 min) it is full. In the 9th minute A adds and the tank is full. (12 min ignores that A can finish before B runs again.)
Answer: C) 9 min

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