SOLUTION: Two cars leave a city at the same time, one trabels north and the other south. The car that is trabeling south averaged 12 miles/hr faster than the car traveling north. After 3 hou

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two cars leave a city at the same time, one trabels north and the other south. The car that is trabeling south averaged 12 miles/hr faster than the car traveling north. After 3 hou      Log On

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Question 548824: Two cars leave a city at the same time, one trabels north and the other south. The car that is trabeling south averaged 12 miles/hr faster than the car traveling north. After 3 hours they are 396 miles apart. How fast is each car traveling?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the speed of the slower car = +s+
the speed of the faster car is +s+%2B+12+
They are moving apart at the sum of their speeds
given:
+396+=+%28+s+%2B+s+%2B+12+%29%2A3+
+3%2A%28+2s+%2B+12+%29+=+396+
+6s+%2B+36+=+396+
+6s+=+360+
+s+=+60+
+s+%2B+12+=+72+
The car going south has speed of 72 mi/hr
The car going north has speed of 60 mi/hr