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A pipe can fill an empty tank in 6 hours, but because of a leak at the bottom the tank takes 9 hours to fill. How many hours will the leak alone take to empty a full tank?

Competition practiceRatio, Percentage & Commercial Math
  • A18
  • B15
  • C12
  • D24

Step-by-Step Solution

Filling rate = 1/6 per hour; the observed rate with the leak = 1/9 per hour. Leak rate = 1/6 − 1/9 = 3/18 − 2/18 = 1/18 of the tank per hour, so the leak empties a full tank in 18 hours.
Answer: A) 18

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