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An inlet fills a tank in 4 hours. Two outlets sit at one-third and two-thirds of the height, and each drains water at a rate that would empty the full tank in 12 hours, but only while the water is above it. How long does the empty tank take to fill?

Competition practicePipes & Cisterns
  • A12 h
  • B6 h
  • C8 h
  • D

Step-by-Step Solution

Lowest third at h. Middle third at : 2 h. Top third at : 4 h. Total h. (12 h has both outlets working from the start.)
Answer: D)

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