A faucet delivers water at 13.9 gpm. How long will it take to fill a swimming pool that is 32 ft by 21 ft and averages 5.4 ft in depth?

• A. 20 hours
• B. 44 hours 10 minutes
• C. 31 hours and 32 minutes
• D. 15 hours 50 minutes

Answer: (C)

To find how long it takes, you divide the pool’s water volume by the flow rate, keeping units consistent.

First, the pool volume: 32 ft × 21 ft × 5.4 ft = 3628.8 cubic feet.

Convert to gallons: 1 cubic foot ≈ 7.48 gallons, so 3628.8 × 7.48 ≈ 27,143 gallons.

The faucet flow is 13.9 gallons per minute, which is 13.9 × 60 = 834 gallons per hour.

Time to fill = total gallons ÷ gallons per hour ≈ 27,143 ÷ 834 ≈ 32.5 hours, i.e., about 32 hours and 30–33 minutes.

So the fill time is roughly 32 hours, which matches the provided answer.