Question

In a paint factory, an old conveyer line has filled 25 barrels of paint, and is filling more at a rate of 11 barrels per minute. A worker just switched on a newer line that can fill 12 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How long will that take? How many barrels will each line have filled?

Answer 1

25 minutes

Explanation:

Worker1 is filling up at a rate of 11 per minute while worker2 is filling up at a rate of 11+1 per minute. Since worker1 has 25 extra barrels and since worker2 makes one extra barrel per minute it will take exactly 25 minutes to match worker1's barrel count.