Question

Two water tanks are being filled. The water in tank A is 1 inch deep, and the depth of the water increases 4 inches every hour. The water in tank B is 4 inches deep, and the depth is increasing by 2 inches every hour. After how many hours will the water in tank A be deeper than the water in tank B? The water in tank A will be deeper than the water in tank B after _ hours

Answer 1

Let's set up equations to represent the depths of both tanks over time:

For tank A: Depth = 1 + 4h (where h is the number of hours).

For tank B: Depth = 4 + 2h (where h is the number of hours).

To find the time when the water in tank A is deeper than in tank B, we need to compare their depths:

1 + 4h > 4 + 2h

Now, solve for h:

2h > 3
h > 3/2

The water in tank A will be deeper than the water in tank B after 3/2 hours, which is equivalent to 1.5 hours.