Answer
$58 \text{ miles per hour}$
Work Step by Step
Using $D=rt,$ with $t=2.25$ hours (from $11$ am to $1$:$15$ pm) and $d=130$ miles, then
\begin{array}{l}\require{cancel}
D=rt
\\
130=r(2.25)
\\
\dfrac{130}{2.25}=r
\\
r=57.777777777777777777777777777778
.\end{array}
Hence, rounded to the nearest miles per hour, the average speed is $
58 \text{ miles per hour}
.$