Question

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?

They will have the same amount of liquid after ___ minutes.

Answer 1

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.