Two pumps are filling large bats of liquid. One vat is empty, and the pump is filling it at a rate of 6 gallons per minute. The other car 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 answer

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

After t minutes, the empty vat will have been filled with 6t gallons.
After t minutes, the other vat will have increased its amount of liquid by 4t gallons, reaching 28 + 4t gallons.

To find the time t when the two vats have the same amount of liquid, we need to solve the equation:

6t = 28 + 4t

Subtracting 4t from both sides:

2t = 28

Dividing both sides by 2:

t = 28/2

t = 14

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