SOLUTION: Cindy averaged 60 mph on a trip to Chicago. Returning home she took a more scenice route and averaged 50 mph. The return trip was 2 hours longer and was 30 miles farther. How long

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Question 116500This question is from textbook
: Cindy averaged 60 mph on a trip to Chicago. Returning home she took a more scenice route and averaged 50 mph. The return trip was 2 hours longer and was 30 miles farther. How long did it take Cindy to drive to Chicago? This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Cindy averaged 60 mph on a trip to Chicago.
Returning home she took a more scenic route and averaged 50 mph.
The return trip was 2 hours longer and was 30 miles farther.
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To Chicago DATA:
Distance = x miles ; rate = 60 mph ; time = d/r = x/60 hrs
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Return DATA:
Distance = x+30 miles ; rate = 50 mph ; time = (x+30)/50 hrs
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How long did it take Cindy to drive to Chicago?
EQUATION:
Return time = to Chi. time +2 hrs
(x+30)/50 = x/60 +2
6(x+30) = 5x + 600
6x + 180 = 5x + 600
x = 420 miles
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Time to Chicago = x/60 = 420/60 =7 hrs.
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Cheers,
Stan H.