# Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set - Page 538: 24

Answer: Both the conveyors working together can move 1200 pounds in $6$ minutes.

#### Work Step by Step

The solution of Example 23 is given below. If you have already seen the previous example, then skip to the bottom part of this answer to get to the answer of this Example. *(Example 23)* 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. --------------- Now we know that 300 pounds can be moved in 1.5 minutes or 1 minute 30 seconds. Thus 1200 pounds, or 4(300) pounds can be moved in 4(1.5) = 6 minutes.

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