Question

It took Gustavo 3 hours to drive to a football game. On the way home, he was able to increase his average speed by 20 mph and makethe return drive in only 2 hours. Find his average speed on the return drive.Step 2 of 3: Use the table from part 1 to help write a linear equation that represents the given word problem. (Use x to represent theunknown quantity.) Do not simplify your answer.

Answer 1

Answer:

The linear equation that represent the problem is:

`3x=2(x+20)`

The average speed on the return drive is 60 mph

Step-by-step explanation:

From the given table, because the distance remains the same irrespective of speed, we have:

`\begin{gathered} 3x=2(x+20) \\ 3x=2x+40 \\ 3x-2x=40 \\ x=40 \end{gathered}`

The average speed on the return drive is:

`\begin{gathered} x+20 \\ =40+20 \\ =60\text{mph} \end{gathered}`

The linear equation that represents this is:

`3x=2(x+20)`