Question

A rectangular swimming pool has a volume capacity of 2160 cubic feet

. Water is being added to
the pool at a rate of about 20 cubic feet per minute
. Determine about how long it will take to fill the pool
completely if there were already about 1200 gallons of water in the pool. Use the fact that I cubic foot of space holds about 7.5 gallons of water.

Answer 1

Answer: 100 minutes

Explanation:

7.5 gal/ft^3 for water

A 2160 ft^3 pool has room for (2160 ft^3)*(7.5 gal/ft^3) = 16,200 gallons of water

Water needed to fill: (16,200 gal - 1200 gal) = 15,000 gal

Rate of filling: 20 ft^3/min

(20 ft^3/min)*(7.5 gal/ft^3) = 150 gal/min

Tiome to add 15,000 gallons of water:

(15,000 gal/150 gal/min) = 100 minutes