Answer:
The containers will never have the same amount of water.
Explanation:
Container A has 100 L of water, and is being filled at a rate of 16 liters per minute.
Filling means that it is adding water.
This means that after m minutes, the amount of water in the container will be:
La(m) = 100 + 16m
Container B has 50 L of water, and is being drained at 6 liters per minute.
Draining means that it is removing water.
This means that after m minutes, the amount of water in the container will be:
Lb(m) = 50 - 6m
How many minutes, m, will it take for the two containers to have the same amount of water?
This is m for which:
La(m) = Lb(m)
100 + 16m = 50 - 6m
16m + 6m = 50 - 100
22m = -50
m = -2....
Since we cannot have a negative number of minutes, the answer is:
The containers will never have the same amount of water.