A rectangular swimming pool with a flat bottom is 20 feet by 12 feet. How long will it take to fill the swimming pool to 5 feet if water is being pumped into the pool at 30 cubic feet per minute?
20 feet 12 feet 5 feet
= 20 12 5 feet ^3
= 1200 feet^3
1200 feet^3 / (30 feet^3 / minute)
= (1200 / 30) minutes
= (120 / 3) minutes
= 40 minutes
The given dimensions of the rectangular swimming pool are =
Length = 20 feet
Width = 12 feet
Height upto which the water should be filled up = 5 feet
So, the total volume of water needed to fill the pool will be =
\(20\times12\times5=1200\) cubic feet
The water is pumped at a speed of = 30 cubic feet per minute.
So, to fill 1200 cubic feet, the time taken will be = \(\frac{1200}{30} =40\)
Hence, it will take 40 minutes to fill the pool.