2 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 is already filled with 10 gallons, and it is continuing to fill at a rate of 4 gallons per minute. Write an equation to show when the two vats will have an equal amount of liquid. Use x as your variable.

1 answer

The equation to show when the two vats will have an equal amount of liquid can be written as:

6x = 10 + 4x

In this equation, 6x represents the amount of liquid in the empty vat after x minutes, and 4x represents the amount of liquid in the vat that initially had 10 gallons after x minutes. The equation equates the two amounts of liquid to find the value of x when they are equal.