36 miles
Explanation
Step 1
to solve this we can use a rule of three
let x represents the total distance of his drive
hence
[tex]\begin{gathered} \text{if} \\ 24\text{ miles }\Rightarrow\frac{2}{3}\text{of th total } \\ x\text{ miles }\Rightarrow1\text{ total } \end{gathered}[/tex]
therefore, the proportion would be.
[tex]\begin{gathered} \frac{24\text{ miles }}{\frac{2}{3}\text{ of total }}=\frac{x\text{ miles}}{1\text{ total }} \\ \frac{24}{\frac{2}{3}}=x \\ \frac{24\cdot3}{2}=x \\ \frac{72}{2}=x \\ 36=x \end{gathered}[/tex]
so, we can conclude that
the total length is
36 miles
I hope this helps you
