Question

a tank is 16 ft wide, 30 ft long and is to be filled to a depth of 4.5 ft. how long will it take to fill the pool, in hours, if the hose delivers 12 gpm?

22.4 hours
16.5 hours
19.4 hours
18.75 hours

Explanation:

Calculate the volume of the tank in cubic feet

$$ V_{\text{ft}^3} = 16\text{ ft} \times 30\text{ ft} \times 4.5\text{ ft} = 2160\text{ ft}^3 $$

Convert the volume to gallons

$$ V_{\text{gal}} = 2160\text{ ft}^3 \times 7.48\text{ gal/ft}^3 = 16156.8\text{ gallons} $$

Calculate the time required to fill the tank in hours

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Answer:

• (A) 22.4 hours (Correct answer)
• (B) 16.5 hours
• (C) 19.4 hours
• (D) 18.75 hours