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)mmmm

Answer 1

[AI-generated answer — Bot GPT 3.5]

The rate at which the first vat is filling is 6 gallons per minute, and the rate at which the second vat is filling is 4 gallons per minute. The difference in their rates is 2 gallons per minute (6 - 4 = 2).

To find out when the two vats will have the same amount of liquid, we need to figure out how much liquid the second vat needs to catch up to the first vat. The second vat currently has 28 gallons, and the first vat is filling at 6 gallons per minute, so the second vat needs to catch up 28 gallons in order to reach the same amount as the first vat.

Dividing the number of gallons the second vat needs to catch up (28 gallons) by the difference in the rates (2 gallons per minute) gives us the time it will take for the two vats to have the same amount of liquid:

28 / 2 = 14 minutes

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