Answer:
So, the difference of the rates at which the pools are being filled is 1/18 inch per minute.
Explanation:
We can find the rate of filling of each pool by dividing the inches filled per hour by the number of minutes it takes to fill them.
Rate of Pool A = 4 inches / 12 minutes = 1/3 inch per minute
Rate of Pool B = 7 inches / 18 minutes = 7/18 inch per minute
The difference in the rates of filling the two pools is:
(7/18) - (1/3) = (7/18) - (6/18) = 1/18 inch per minute.
So, the difference of the rates at which the pools are being filled is 1/18 inch per minute.