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If average for whole trip is 40mph, the trip will take 30 mins. If he has done 10 miles at 25mph this will have taken 10/25 of one hour = 24 mins, so he has 6 mins left to do 10 miles. This requires a speed of 100mph.

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Q: A driver sets out on a 20 mile trip at halfway he has averaged 25mph at what speed must he travel the rest of the way to make his average speed for the trip 40mph?
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