SOLUTION: A pool contains 200 gallons of water and is 1/10 full. If you fill the pool at 10 gallons an hour while the pool empties at 3 gallons per hour. how long will it take to fill the po

Question 936445: A pool contains 200 gallons of water and is 1/10 full. If you fill the pool at 10 gallons an hour while the pool empties at 3 gallons per hour. how long will it take to fill the pool?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
r = v/t
rates are additive:
r = 10/1 - 3/1
r = 7 gal/hr
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pool volume:
x/10 = 200
x = 2000 gal
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volume remaining to fill the pool:
2000 - 200 = 1800 gal
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time remaining:
r = v/t
t = v/r
t = 1800/7
t = 257.142857143
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it'll take another 257.14 hours to fill the pool
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