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A tap alone fills a sump in 11 hours, but because of a leak the sump takes 13 hours to fill. How many hours would the leak take to empty the full sump?

Competition practiceTime & Work / Pipes
  • A71.5
  • B24
  • C143
  • D2

Step-by-Step Solution

Leak rate = 1/11 − 1/13 = 13/143 − 11/143 = 2/143 of the sump per hour, so the leak empties it in 143/2 = 71.5 hours.
Answer: A) 71.5

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