Question

Peter measures his new empty swimming pool and estimates that it has a volume of 3,400 cubic feet. He knows that his garden hose has a flow rate of 15 gallons per minute.How can Peter determine how long it will take to fill the pool?A. First, he can convert the volume to approximately 25,433.7 gallons. Next, he can use the 15 gallons per minute to get approximately 1,695.58 minutes. Finally, he can convert the time to approximately 28.30 hours.B. First, he can convert the volume to approximately 454.51 gallons. Next, he can use the 15 gallons per minute to get approximately 6,817.65 minutes. Finally, he can convert the time to approximately 113.63 hours.C. First, he can convert the flow rate to approximately 112.21 cubic feet per minute. Next, he can use the volume to get 381,514 minutes. Finally, he can convert the time to approximately 4.42 days.D. First, he can convert the flow rate to approximately 2.01 cubic feet per minute. Next, he can use the volume to get 6,834 minutes. Finally, he can convert the time to approximately 4.75 days.

Answer 1

A. First, he can convert the volume to approximately 25,433.7 gallons. Next, he can use the 15 gallons per minute to get approximately 1,695.58 minutes. Finally, he can convert the time to approximately 28.30 hours.

Step-by-step explanation

1 cubic foot equals approximately 7.48052 gallons. So if the swimming pool's volume is 3,400 ft³, in gallons this is approximately 25,433.7 gallons.

Then, if the hose has a flow of 15 gallons every minute, then it would take to fill the pool.

`(25433.7gal)/(15(gal)/(\min))=1695.58\min`

We know that 1 hour has 60 minutes, so converted to hours this time is,

`(1695.58\min)/(60\min)\cdot1h\approx28.3h`

Hence, the answer is option A.