2 pumps are filling large vats of liquid. One vat is empty, and the pump is filling it at a rate of 6 gallons per minute. The other vat is already contains 28 gallons and is continuing to fill at a rate of 4 gallons per minute. When will the 2 vats have the same amount of liquid?

To find the time it takes for the two vats to have the same amount of liquid, we need to set up an equation.

Let t be the time in minutes.
The amount of liquid in the first vat after t minutes is 6t gallons.
The amount of liquid in the second vat after t minutes is 28 + 4t gallons.

We want to find when the two vats have the same amount of liquid, so we set up the equation:

6t = 28 + 4t

Simplifying the equation gives:

2t = 28
t = 14

Therefore, the two vats will have the same amount of liquid after 14 minutes.