Let x be the number of minutes it takes for the two vats to have an equal amount of liquid.
The equation for the amount of liquid in the first vat is 6x (6 gallons per minute filling rate).
The equation for the amount of liquid in the second vat is 10 + 4x (starting with 10 gallons and filling at 4 gallons per minute).
Setting these two equations equal to each other to find when the two vats will have an equal amount of liquid:
6x = 10 + 4x
Solving for x:
2x = 10
x = 5
Therefore, the two vats will have an equal amount of liquid after 5 minutes.
Linear Equations in Real-World Scenarios
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 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
1 answer