SOLUTION: Two truck drivers leave a cafe at the same time, traveling in opposite directions. One truck goes 3 mph faster than the other one. After 2 hours they are 206 miles apart. How fast

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Question 628165: Two truck drivers leave a cafe at the same time, traveling in opposite directions. One truck goes 3 mph faster than the other one. After 2 hours they are 206 miles apart. How fast is each truck going?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one truck standing still
and the other traveling away at the sum of their speeds
Let the speed of the slower truck = +s+ mi/hr
Let the speed of the faster truck = +s+%2B+3+ mi/hr
The equation for the moving truck is
+206+=+%28s+%2B+s+%2B+3+%29%2A2+
+206+=+4s+%2B+6+
+4s+=+200+
+s+=+50+
+s+%2B+3+=+53+
The speeds of the trucks are 50 and 53 mi/hr