SOLUTION: Two cars pass on a straight highway while traveling in opposite directions. One car is traveling 6 mph faster than the other car. After 1.5 hours the two cars are 171 miles apart.

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Question 916897: Two cars pass on a straight highway while traveling in opposite directions. One car is traveling 6 mph faster than the other car. After 1.5 hours the two cars are 171 miles apart. Find the speed of each car. Show work
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two cars pass on a straight highway while traveling in opposite directions. One car is traveling 6 mph faster than the other car. After 1.5 hours the two cars are 171 miles apart. Find the speed of each car. Show work
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1st car DATA:
time = 1.5 hrs ; rate = x mph ; distance = r*t = 1.5x miles
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2nd car DATA:
time = 1.5 hrs ; rate = x+6 mph ; distance = r*t = 1.5x+9 miles
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Equation:
dist + dist = 171 miles
1.5x + 1.5x+9 = 171
3x = 162
x = 54 mph (slower car speed)
x+6 = 60 mph (faster car speed)
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Cheers,
Stan H.