Let t be the time (in minutes) it takes for the two vats to have the same amount of liquid.
After t minutes, the vat that was initially empty will have been filled with 6t gallons.
The vat that initially contained 28 gallons will have been filled with 4t + 28 gallons.
Setting these two expressions equal to each other, we have:
6t = 4t + 28
2t = 28
t = 14
Therefore, the two vats will have the same amount of liquid after 14 minutes. Answer: \boxed{14}.
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)
1 answer