SOLUTION: Two cars leave a city, one traveling east and the other west. The car going east is traveling at 60 mph and the car going west is traveling at 62 mph. How long will it take for the

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Question 898332: Two cars leave a city, one traveling east and the other west. The car going east is traveling at 60 mph and the car going west is traveling at 62 mph. How long will it take for them to be 427 miles apart?
Found 2 solutions by rfer, josmiceli:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
moving apart at 122mph
427/122=3.5 hrs

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of this a s one car moving at the
sum of their speeds and the other
standing still
+let+%7B%7B%7B+t+ = time in hours
+427+=+%28+60+%2B+62+%29%2At+
+t+=+427+%2F+122+
+t+=+3.5+
it will take them 3.5 hrs
------------------------
check:
+d%5B1%5D+=+60t+
+d%5B1%5D+=+60%2A3.5+
+d%5B1%5D+=+210+ mi
-----------------
+d%5B2%5D+=+62t+
+d%5B2%5D+=+62%2A3.5+
+d%5B2%5D+=+217+
----------------
+d%5B1%5D+%2B+d%5B2%5D+=+210+%2B+217+
+d%5B1%5D+%2B+d%5B2%5D+=+427+
OK