SOLUTION: Two airplanes leave Chicago midway airport at the same time, traveling in opposite directions.One travels 25 miles per hour faster than the other. After 2 hours they are 490 miles

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Question 1110033: Two airplanes leave Chicago midway airport at the same time, traveling in opposite directions.One travels 25 miles per hour faster than the other. After 2 hours they are 490 miles apart. Find the speed of each plane.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one plane flying
at the sum of their speeds and the other
plane standing still
Let +s+ = the speed of one plane in mi/hr
Let +s+%2B+25+ = the speed of the other plane in mi/hr
---------------------------------------------------------
+490+=+%28+s+%2B+s+%2B+25+%29%2A2+
+490+=+%28+2s+%2B+25+%29%2A2+
+490+=+4s+%2B+50+
+4s+=+440+
+s+=+110+
and
+s+%2B+25+=+135+
---------------------------------------------
Their speeds are 110 mi/hr and 135 mi/hr
---------------------------------------------
check:
+d%5B1%5D+=+110%2A2+
+d%5B1%5D+=+220+
and
+d%5B2%5D+=+135%2A2+
+d%5B2%5D+=+270+
-------------------------
+d%5B1%5D+%2B+d%5B2%5D+=+220+%2B+270+
+d%5B1%5D+%2B+d%5B2%5D+=+490+ mi
OK