#### Answer

If both the conveyors work together, then they would complete the work of moving 300 pounds of cans in 1.5 minutes, or 1 minute 30 seconds.

#### Work Step by Step

Given:
The large conveyor mover 300 pounds in 2 minutes.
Thus in one minute, the large conveyor belt should move $\frac{300}{2}$
= $150$ pounds
Also, in 6 minutes , a smaller conveyor moves 300 pounds.
Thus, in one minute the conveyor will move $\frac{300}{6}$ = 50 pounds.
So, if both conveyors work together, in one minute they would move 150 + 50 = 200 pounds.
Now, we know that 200 pounds can be moved by both the conveyors in one minute.
Thus 300 pounds can be moved in $\frac{300}{200}$ = 1.5 minutes.