Question

In a paint factory, an old conveyer line has filled 40 barrels of paint, and is filling more at a rate of 1 barrel per minute. A worker just switched on a newer line that can fill 3 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?

Write a system of equations, graph them, and type the solution.

Answer 1

5 minutes

Explanation:

let the time after which two lines will have filled an equal number of barrels is 'X' minutes.

so, according to the question after 'X' minutes;

⇒ number of barrels in old conveyer line = number of barrels in new conveyer line

⇒ 40x + 2X = 10X

⇒ X = 5