Question

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 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.(2 points)
x=

+

Answer 1

Let x be minutes. Amounts equal when 6x = 10 + 4x.

Solve: 6x − 4x = 10 → 2x = 10 → x = 5 minutes.