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An inlet fills a tank in 6 hours. A hole one-quarter of the way up the side drains water at a steady rate that would empty a full tank in 9 hours, but only while the water is above the hole. How long does the empty tank take to fill?

Competition practicePipes & Cisterns
  • A16.5 h
  • B15 h
  • C18 h
  • D13.5 h

Step-by-Step Solution

Below the hole: at per hour → 1.5 h. Above it: net , so takes 13.5 h. Total 15 h. (18 h assumes the hole drains from the start.)
Answer: B) 15 h

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