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Here is my work on my paper so far...but just don't know how to proceed.

I worked out the problem and this is the setup I used. Can you please tell me the answer you found so I can also know if I approached this correctly.

Not exactly, in my case 182.5mph was the combined rate of the plane and the car together. So, the value of x in my diagram decreases at 182.5mph. 120mph of this decrease is contributed by the plane so i got a rate of 62.5mph for the car.