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Two pipes have diameters 2 cm and 3 cm, with water flowing at the same speed. The larger fills a tank in 36 minutes. How long does the smaller take?

Competition practiceTime & Work / Pipes
  • A54 minutes
  • B81 minutes
  • C24 minutes
  • D16 minutes

Step-by-Step Solution

Flow is proportional to the pipe's area, i.e. to the diameter squared: ratio 4 : 9. The smaller takes .
Answer: B) 81 minutes

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