Final answer:
By dividing the pool's capacity of 2,500 gallons by the hose output of 25 gallons per minute, we find that it will take 100 minutes to fill the pool.
Step-by-step explanation:
To calculate the time needed to fill the swimming pool, we need to divide the pool's total capacity by the output rate of the hose. So the time t is given by the equation t = total capacity / hose output.
For the pool in question, we have:
- Total capacity = 2,500 gallons
- Hose output = 25 gallons per minute
Dividing the total capacity by the hose output, we get:
t = 2,500 gallons / 25 gallons per minute = 100 minutes
Therefore, it would take 100 minutes to fill the pool using the hose with an output of 25 gallons per minute.