SOLUTION: 2. Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled,

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Question 124852: 2. Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster the the other car, what was the average speed for each car for the 2-hour trip?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster the the other car, what was the average speed for each car for the 2-hour trip?
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1st car DATA:
Rate = x mph ; time = 2 hr. ; distance = 2x miles
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2nd car DATA:
Rate = x+8 mph ; time = 2 hr. ; distance = 2(x+8) miles
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EQUATION:
distance + distance = 208 miles
2x + 2(x+8) = 208
x + x+8 = 104
2x =96
x = 48 mph (1st car)
x+8 = 56 mph (2nd car)
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Cheers,
Stan H.