SOLUTION: two cars going in opposite directions leave at the same time. one automobile travels 15 mph faster than the other. In 4 hours the automobiles are 460 miles apart. find the speed ea

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Question 964818: two cars going in opposite directions leave at the same time. one automobile travels 15 mph faster than the other. In 4 hours the automobiles are 460 miles apart. find the speed each
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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460mi/4hr=115mi/hr The sum of the two cars speeds is 115moh.
S=slower car F-faster car=S+15mph
S+F=115mph Substitute for F.
S+S+15mph=115mph Subtract 15mph from each side.
2S=100mph Divide each side by 2.
S=50mph ANSWER 1: The slower car was traveling 50 miles per hour.
F=S+15mph=50mph+15mph=65mph ANSWER 2: The faster car traveled 65 miles per hour.