Two 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?(1 point)

They will have the same amount of liquid after
minutes.

1 answer

Let's assume the number of minutes it takes for the two vats to have the same amount of liquid is x.

The amount of liquid in the first vat after x minutes is 6x gallons.
The amount of liquid in the second vat after x minutes is 28 + 4x gallons.

Since we want the two vats to have the same amount of liquid, we can set up the equation:

6x = 28 + 4x

Now let's solve for x:

2x = 28

x = 28/2
x = 14

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