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It took Brian 3 hours to drive to a rock concert. On the way home, he was able to increase his average speed by 23 mph and make the return drive in only 2 hours. Find his average speed on the return drive.The equation from part 2 is 3x=2(x+23)Step 3 of 3: Solve the equation found in part 2 for x. Use this information to answer the given word problem.

Respuesta :

Answer:

69 mph

Explanation:

The equation that represents this situation is:

[tex]3x=2(x+23)[/tex]

We are required to determine Brian's average speed on the return drive.

To do this, we first find the value of x.

[tex]\begin{gathered} \text{Open the bracket} \\ 3x=2x+46 \\ \text{Subtract 2x from both sides} \\ 3x-2x=46 \\ x=46\; \text{mph} \end{gathered}[/tex]

Using the value of x, we find the average speed on the return drive.

[tex]x+23=46+23=69\text{mph}[/tex]

Therefore, the average speed on the return drive will be 69 mph.

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