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Juan has already run 6 miles this month. He plans to run an additional 2 miles per day. At this rate, how long will it take Juan to run 40 miles?Hint: Write and solve a 2-step equation

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ANSWER

[tex]17\text{ days}[/tex]

EXPLANATION

We want to find how long it will take Juan to run 40 miles.

To do this, we have to set up an equation that describes the situation.

We have that Juan has already run 6 miles and he wants to run an additional 2 miles per day.

This implies that after d days, he would have run:

[tex]6+2d[/tex]

For Juan to run 40 miles, it implies that:

[tex]6+2d=40[/tex]

Solve that for d:

[tex]\begin{gathered} 2d=40-6=34 \\ d=\frac{34}{2} \\ d=17\text{ days} \end{gathered}[/tex]

That is how long it will take Juan to run 40 miles.

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