wo 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 already contains 28 gallons and is continuing to fill at a rate of 4 gallons per minute. When will the two vats have the same amount of liquid?

Answer 1

Let's call the time it takes for the two vats to have the same amount of liquid "t".

At time "t", the first vat will have 6t gallons of liquid.

At time "t", the second vat will have 28 + 4t gallons of liquid.

To find when the two vats have the same amount of liquid, we can set these two expressions equal to each other:

6t = 28 + 4t

Simplifying:

2t = 28

t = 14

Therefore, it will take 14 minutes for the two vats to have the same amount of liquid.