Answer
$$ 1.5 \text{ minutes}$$
Work Step by Step
First, we set up a rational expression to model the situation:
$$ {300 \ lb} = (\frac{300 lbs}{2 \ min} + \frac { 300 \ lbs } {6 min}) \times x \ min$$
First, we isolate x:
$$ \frac{300 \ lb}{ (\frac{300 lbs}{2 \ min} + \frac { 300 \ lbs } {6 min})} = x \ min$$
Now, we use PEMDAS, a method for simplification. This acronym reminds us that we must first address parentheses, and then exponents. Next, we address multiplication and division, going from left to right. Lastly, we simplify addition and subtraction from left to right. This gives:
$$ 1.5 \text{ minutes}$$
