How Fast Must You Drive to Average 22 km/h Over 24 km?

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To achieve an average speed of 22 km/h over a total distance of 24 km, the total time taken must be 1.09 hours. Jogging at 9.5 km/h for 8 km takes approximately 0.84 hours. This leaves about 0.25 hours for the remaining 16 km driven in a car. To find the required speed, divide the distance by the time, resulting in a necessary driving speed of 64 km/h. The calculations confirm that maintaining this speed will yield the desired average speed for the entire journey.
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I have a question for anyone willing to help that I can't seem to figure out along with quite a few of my classmates:

-You jog at 9.5 km/h for 8.0 km, then you jump into a car and drive an additional 16 km. With what average speed must you drive your car if your average speed for the entire 24 km is to be 22 km/h?
 
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You need to show some work. How about you start by telling us what you know about average speed and average velocity.
 
I ended up figuring it out.
 

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