SOLUTION: Allison drove for 2 hours on the freeway, then decreased her speed by 20 miles per hour and drove 4 more hours on a country road. If her total trip was 268 miles, then what was her

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Question 959053: Allison drove for 2 hours on the freeway, then decreased her speed by 20 miles per hour and drove 4 more hours on a country road. If her total trip was 268 miles, then what was her speed on the freeway?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Allison drove for 2 hours on the freeway, then decreased her speed by 20 miles per hour and drove 4 more hours on a country road. If her total trip was 268 miles, then what was her speed on the freeway?
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Freeway DATA:
time = 2 hrs ; rate = r mph ; distance = 2r miles
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Country DATA:
time = 4 hrs ; rate = r-20 mph ; distance = 4r-80 miles
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Equations:
distance + distance = 268
2r + 4r-80 = 268
6r = 348
rate = 58 mph (rate on freeway)
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Cheers,
Stan H.
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