Answer
I must drive my car with average speed $=62km/h$.
Work Step by Step
Time required for the entire 24 km:
$t=\frac{distance}{average speed}=\frac{24km}{22km/h}=1.1h$
Time elapsed for the jog:
$time$ $elapsed=\frac{distance}{average speed}=\frac{8.0km}{9.5km/h}=0.84h$
I have $1.1h - 0.84h=0.26h$ to drive an additional 16 km:
$average$ $speed=\frac{distance}{time elapsed}=\frac{16km}{0.26h}=62km/h$
