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This is a trick question and the only possible answer is "it can't be done".

In order to average 40MPH over 20 miles, the entire trip has to last 30 minutes (MPH=miles/hours). At the halfway point, which is 10 miles, at 20MPH it already took 30 minutes to get there, so there is no way to "make up for lost time" - no matter how fast you go, you can't average 40MPH on the trip.

Even if you somehow were magically able to travel at the speed of light for the remaining 10 miles, which is 670,616,629MPH, your average speed of the trip would be only 39.999999881MPH, not quite 40MPH.

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Q: A driver sets out on a 20 mile trip At halfway he has averaged 20 mph At what speed must he travel the rest of the way to make his overall average speed 40mph for the trip?
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