Let x be the miles you drive, now for the second company to be cheaper than the first one, we set the following inequality:
[tex]30+x0.05\le20+0.10x\text{.}[/tex]
Solving for x we get:
[tex]\begin{gathered} 30-20\le(0.10-0.05)x, \\ 10\le0.05x, \\ 200\le x\text{.} \end{gathered}[/tex]
Therefore, for the second company to be cheaper the distance must be greater than 200 miles.
Answer: Above 200 miles.
