Gary Egan needs to drain his 17,500 -gallon inground swimming pool to have it resurfaced. He uses two pumps to drain the pool. One drains 10 gallons of water a minute while the other drains 25 gallons of water a minute. If the pumps are turned on at the same time and remain on until the pool is drained, how long will it take for the pool to be drained? The time required to drain the water from the pool is \( \square \) minutes. (Type an integer or a decimal.)

To find the total time required to drain the pool, we first calculate the combined drainage rate of both pumps. The first pump drains 10 gallons per minute and the second pump drains 25 gallons per minute. So, their combined rate is: \[ 10 + 25 = 35 \text{ gallons per minute} \] Next, we need to determine how many minutes it will take to drain 17,500 gallons at a rate of 35 gallons per minute. We can use the formula: \[ \text{Time} = \frac{\text{Total volume}}{\text{Rate}} \] Substituting the values: \[ \text{Time} = \frac{17,500 \text{ gallons}}{35 \text{ gallons/minute}} = 500 \text{ minutes} \] Therefore, the time required to drain the water from the pool is \(500\) minutes.