Two pumps are filling large vats of liquid One vat is empty, and the pump is filling it at a rate of gallons per minute. The other vat already contains 28 gallons and is continuing to fill at a rate of 4 gallons per minuteWhen will the vats have the same amount of liquid? point)

Answer 1

Let x be the number of minutes it takes for both vats to have the same amount of liquid.

After x minutes, the first vat will have filled x gallons, and the second vat will have filled 28 + 4x gallons.

Setting these two expressions equal to each other:

x = 28 + 4x
3x = 28
x = 28/3
x ≈ 9.33

Therefore, it will take approximately 9.33 minutes for both vats to have the same amount of liquid.