Question

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.

Answer 1

Let t be minutes from now. First vat: 6t. Second vat: 28 + 4t.
Set equal: 6t = 28 + 4t → 2t = 28 → t = 14.

They will have the same amount after 14 minutes.