To find the time it takes to fill the pool with 3,185 gallons of water, we can use the given information about filling 1,625 gallons in 2.5 hours to establish a relationship between the volume of water and the time required.

Step 1: Calculate the rate of filling

The rate of filling is given by: $\text{Rate} = \frac{1625 \text{ gallons}}{2.5 \text{ hours}} = 650 \text{ gallons per hour}$

Step 2: Calculate the time for 3,185 gallons

Now, we need to find the time $t$ it takes to fill 3,185 gallons using the rate calculated: $t = \frac{3185 \text{ gallons}}{650 \text{ gallons per hour}} \approx 4.9 \text{ hours}$

Thus, it would take approximately 4.9 hours to fill the pool with 3,185 gallons of water.

Would you like a detailed breakdown or have any questions?

Related Questions:

1. How would the time change if the rate of filling increased to 800 gallons per hour?
2. What is the time required to fill only 1,000 gallons?
3. How many gallons can be filled in 6 hours at the given rate?
4. What would be the filling time for 5,000 gallons of water at this rate?
5. How would the calculation change if the filling rate varied over time?

Tip:

To find the time required for different amounts of water, divide the total volume by the rate of filling.