Answer: After 39 minutes, both pools will have the same amount of water.
Explanation:
Let's call the number of minutes elapsed t. Then the amount of water in Destiny's pool after t minutes is 800 + 25t gallons, and the amount of water in Jabez's pool after t minutes is 20 + 45t gallons.
We want to find the time t at which the two pools have the same amount of water, so we set their amounts equal:
800 + 25t = 20 + 45t
Subtracting 20 from both sides of the equation:
780 + 25t = 45t
Subtracting 25t from both sides of the equation:
780 = 20t
Dividing both sides of the equation by 20:
39 = t
So, after 39 minutes, both pools will have the same amount of water.