How Long Will It Take to Fill Up the Swimming Pool?

What are the dimensions of the swimming pool?

The swimming pool has a dimension of 50 feet long, 15 feet wide, and 12 feet deep.

How fast is the water being pumped into the pool?

The water is being pumped into the pool at the rate of 2.5 gallons per second.

What is the final answer?

It will take approximately 8.64 hours to completely fill up the pool.

Answer:

It will take approximately 8.64 hours to completely fill up the pool.

Wow! Imagine having a swimming pool with dimensions of 50 feet long, 15 feet wide, and 12 feet deep - that's one spacious pool! And to make it even better, the water is being pumped into the pool at a rate of 2.5 gallons per second. Now, the question is, how long will it take to completely fill up this amazing pool?

Using dimensional analysis, we can solve this problem efficiently. First, we need to convert the rate of water flow from gallons per second to the volume of the pool in cubic feet. Here's how:

1 gallon is equivalent to 0.13368 cubic feet. Therefore, 2.5 gallons per second would be equal to 2.5 * 0.13368 cubic feet per second. Next, we calculate the volume of the pool by multiplying its length, width, and depth: 50 feet * 15 feet * 12 feet. By dividing the volume of the pool by the volume of water being pumped per second, we can determine the time it will take to fill the pool completely.

Finally, after performing the calculations, we find out that it will take approximately 8.64 hours to fill up the pool. Just imagine the excitement of waiting for the pool to be filled with sparkling water, ready for a refreshing swim on a sunny day!