A swimming pool starts with 600 gallons of water in it. It springs a leak, and is draining at a rate of 100 gallons per hour.

Question

How many gallons of water are in the pool to start? In other words, how many gallons are in the pool at 0 hours?
Time in hours Gallons of water in the pool
0
1
2
3

Answer 1

To determine how many gallons of water are in the pool at 0 hours, we can start from the initial condition that the pool has 600 gallons of water. As the pool is leaking at a rate of 100 gallons per hour, we can calculate the amount of water in the pool at different time intervals.

Here's how the water volume changes with time:

• At 0 hours: 600 gallons (initial condition)
• At 1 hour: \(600 - 100 \times 1 = 500\) gallons
• At 2 hours: \(600 - 100 \times 2 = 400\) gallons
• At 3 hours: \(600 - 100 \times 3 = 300\) gallons

Now, we can present it in a table:

| Time in hours | Gallons of water in the pool | |---------------|-------------------------------| | 0 | 600 | | 1 | 500 | | 2 | 400 | | 3 | 300 |

So, at 0 hours, there are 600 gallons of water in the pool.