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 minutes when will the two vats have the same amount of liquid
Let x be the number of minutes it takes for the two vats to have the same amount of liquid.
The amount of liquid in the first vat after x minutes will be 6x gallons.
The amount of liquid in the second vat after x minutes will be 28 + 4x gallons.
Setting these two expressions equal to each other and solving for x:
6x = 28 + 4x
2x = 28
x = 14
Therefore, it will take 14 minutes for the two vats to have the same amount of liquid.