ANSWER
[tex]864\text{ mi}[/tex]EXPLANATION
First, we have to find the rate at which he drove. To do this, divide the distance he drove by the time taken. That is:
[tex]\begin{gathered} R=\frac{576}{8} \\ R=72\text{ mi/h} \end{gathered}[/tex]Now, find the distance that he will be able to drive applying the same formula:
[tex]\begin{gathered} R=\frac{D}{t} \\ \Rightarrow72=\frac{D}{12} \\ D=864\text{ mi} \end{gathered}[/tex]That is the distance he will be able to drive at the same rate.
