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The tank in the figure is half full. Pipes A and B are opened alternately for one hour each, starting with A. After how many hours is the tank first full?

Competition practicePipes & Cisterns
  • A9 h
  • B7 h
  • C6 h
  • D12 h

Step-by-Step Solution

In 12ths: start at 6; A adds 3, B removes 2, so each 2-hour round gains 1. After 3 rounds (6 h): 9; A's next hour brings it to 12. Total 7 h. (12 h treats the tank as empty.)
Answer: B) 7 h

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