Question

Two pumps are filling large bars 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 bars will have an equal amount of liquid. Use x as your variable

Answer 1

Let x represent the number of minutes it takes for the two bars to have an equal amount of liquid.

The amount of liquid in the first vat after x minutes is given by the equation:
Amount in the first vat = 6 * x

The amount of liquid in the second vat after x minutes is given by the equation:
Amount in the second vat = 10 + 4 * x

To find when the two bars will have an equal amount of liquid, we can set the two equations equal to each other and solve for x:

6 * x = 10 + 4 * x