Answer :
We will use an equation to model both costs and set them equal to each other to figure out the value for n.
[tex]40+0.10n=10+0.25n[/tex]
[tex]30+0.10n=0.25n[/tex]
[tex]30n=0.15n[/tex]
[tex]200=n[/tex]
At 200 miles, the cost will be the same.
[tex]40+0.10n=10+0.25n[/tex]
[tex]30+0.10n=0.25n[/tex]
[tex]30n=0.15n[/tex]
[tex]200=n[/tex]
At 200 miles, the cost will be the same.