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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.

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 class=

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Answer:

The linear equation that represent the problem is:

[tex]3x=2(x+20)[/tex]

The average speed on the return drive is 60 mph

Explanation:

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

[tex]\begin{gathered} 3x=2(x+20) \\ 3x=2x+40 \\ 3x-2x=40 \\ x=40 \end{gathered}[/tex]

The average speed on the return drive is:

[tex]\begin{gathered} x+20 \\ =40+20 \\ =60\text{mph} \end{gathered}[/tex]

The linear equation that represents this is:

[tex]3x=2(x+20)[/tex]

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