A swimming pool is 120' long,45' wide and 10' deep.How long would it take to fill with water if your maximum fill rate was 15 gallons per minute?

120 * 45 * 10 = 54,000 cubic feet

1 Cubic Foot = 7.48051948 Gallons

54 000 * 7.4805 = 403,947 gallons

Divide by 15.

well you are trying to fill inside of a rectangle with water so unless you already tried this I would find the volume of the pool(120x45x10)which gives us 54000.

Then you would divide the volume of the pool by the rate at which it is filled so 54000/15(gal. per min.)= 3600.

Then you would divide 3600 min. by 60 min.(60 min.= 1hr) to find out how long it would take to fill the pool. 3600/60= 60.

So it would take roughly either 3600 min. or 60 hrs to fill the pool at 15gal. per min.

To find out how long it would take to fill the swimming pool, we need to calculate the volume of the pool and divide it by the maximum fill rate.

Step 1: Calculate the volume of the swimming pool.
The volume can be found by multiplying the length, width, and depth of the pool.
Volume = Length × Width × Depth

Given:
Length = 120 feet
Width = 45 feet
Depth = 10 feet

Volume = 120 feet × 45 feet × 10 feet

Step 2: Convert the volume to gallons.
Since the maximum fill rate is given in gallons per minute, we need to convert the volume to gallons. 1 cubic foot is equivalent to approximately 7.48 gallons.
Volume in gallons = Volume in cubic feet × 7.48

Step 3: Calculate the time required to fill the pool.
Divide the volume in gallons by the maximum fill rate of 15 gallons per minute to find the time.
Time (minutes) = Volume in gallons / Maximum fill rate

Now let's perform the calculations to get the final answer.

Volume = 120 feet × 45 feet × 10 feet
Volume = 54,000 cubic feet

Volume in gallons = 54,000 cubic feet × 7.48
Volume in gallons = 403,200 gallons

Time (minutes) = 403,200 gallons / 15 gallons per minute
Time (minutes) ≈ 26,880 minutes

Therefore, it would take approximately 26,880 minutes to fill the swimming pool with the given maximum fill rate.