SOLUTION: A passenger train travels 392 miles in the same time it takes a freight train to travel 322 miles. The passenger train travels 20 miles per hour faster than the freight train. Find

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Question 736707: A passenger train travels 392 miles in the same time it takes a freight train to travel 322 miles. The passenger train travels 20 miles per hour faster than the freight train. Find the rate of each.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hrs for both trains
+392%2Ft+=+322%2Ft+%2B+20+
Multiply both sides by +t+
+392+=+322+%2B+20t+
+20t+=+70+
+t+=+3.5+
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The passenger train's rate:
+392+%2F+3.5+=+112+ mi/hr
Freight train's rate:
+322+%2F+3.5+=+92+ mi/hr