Two pumps are fill large bats of liquid one that is empty and the other pump is filling it had a rate of 6 gallons per minute. The other vet already contains 28 gallons and is continuing to fill out a rate of 4 gallons per minute when will the two fats have the same amount of liquid (how many mins)

1 answer

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

After x minutes, the first vat will have 6x gallons and the second vat will have 28 + 4x gallons.

Since the two vats will have the same amount of liquid, we can set up the equation:

6x = 28 + 4x

Subtracting 4x from both sides:

2x = 28

Dividing by 2:

x = 14

Therefore, it will take 14 minutes for the two vats to have the same amount of liquid.