Give the step-by-step reasoning process and then the final answer. Gentry assembled a new 24 foot round pool in her backyard. To fill the pool with water, she used four hoses. Two of the hoses each deliver water at a rate of 2 gallons per minute. The other two hoses each deliver water at a rate of 3 gallons per minute. With a volume of 15,000 gallons, how many hours will it take to fill the pool?
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Each of the two hoses delivers water at a rate of 2 gallons per minute, for a combined total of 2 * 2 = 4 gallons of water per minute. The other two hoses each deliver water at a rate of 3 gallons per minute, for a combined total of 2 * 3 = 6 gallons of water per minute. Thus, all four hoses deliver a combined total of 4 + 6 = 10 gallons of water per minute. With a volume of 15,000 gallons, it would take 15,000 / 10 = 1500 minutes to fill the pool. Converting to hours, it will take 1500 / 60 = 25 hours to fill the pool.
The final answer: 25.
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