Which car wins?

Race? by bobmendo
Race?, a photo by bobmendo on Flickr.

Unlike this photo where cars on opposite sides of the road are crossing the finish line at about the same time, I have a question. Actually here's a mathematical or geometric test.

Two cars leave Sydney at the exact same moment. One travelling south; the other travelling north. They are the exact same model and make. They travel the same speed, stopping the same length of time at each rest stop and overnight.

They travel the country in opposite directions, of course, and return to the same spot. They are scheduled to arrive 20 days later.

One car arrives significantly earlier than the other. Which one and why?


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