Water flows into a swimming pool at the rate of 7.0 gal/min.The pool is 17 ft wide,32 ft long and 7.0 ft deep.How long does it take to fill? (1 U.S.gallon = 231 cubic inches)
A)34 hours
B)68 hours
C)67 hours
D)136 hours
E)680 hours

Question

Water flows into a swimming pool at the rate of 7.0 gal/min.The pool is 17 ft wide,32 ft long and 7.0 ft deep.How long does it take to fill? (1 U.S.gallon = 231 cubic inches)
A)34 hours
B)68 hours
C)67 hours
D)136 hours
E)​680 hours

Quizplus · Accepted Answer

First, calculate the volume of the pool in cubic feet: 17 ft * 32 ft * 7 ft = 3,808 cubic feet. Convert this to cubic inches: 3,808 ft³ * 12³ in³/ft³ = 6,585,984 in³. Since 1 gallon = 231 in³, the pool's volume in gallons is 6,585,984 in³ / 231 in³/gallon = 28,515.54 gallons. At 7 gallons/min, it takes 28,515.54 gallons / 7 gallons/min = 4,073.65 minutes. Convert minutes to hours: 4,073.65 min / 60 min/hr = 67.89 hours, approximately 68 hours.

Water Flows into a Swimming Pool at the Rate of 7.0