The maximum distance is 34.4 miles
Explanation:Given that:
The ride costs $1.45 for the first ride, and $1.25 for each additional mile or part thereof.
Having $42.7, the maximum distance we can ride is given as:
[tex]\begin{gathered} 42.7=1.45+1.25x \\ \\ 1.25x=42.7-1.45 \\ x=\frac{42.7-1.45}{1.25}=34.4 \end{gathered}[/tex]The maximum distance is 34.4 miles