SOLUTION: two planes leave an airport at the same time one flying east the other flying west the east bound plane travels 110 mph slower they are 1540 mi apart after 2 hr find the speed of e

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Question 895981: two planes leave an airport at the same time one flying east the other flying west the east bound plane travels 110 mph slower they are 1540 mi apart after 2 hr find the speed of each plane
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of one plane as standing still and the
other plane flying at the sum of their speeds
Let +s+ = the speed of the faster plane
-------------------------------
+1540+=+%28+s+%2B+s+-+110+%29%2A2+
+1540+=+4s+-+220+
+4s+=+1760+
+s+=+440+
+s+-+110+=+330+
------------------
The west bound plane flies at 440 mi/hr
The east bound plane flies at 330 mi/hr
check:
East bound train:
+d%5B1%5D+=+440%2A2+
+d%5B1%5D+=+880+ mi
-------------------
West bound train:
+d%5B2%5D+=+330%2A2+
+d%5B2%5D+=+660+ mi
-------------------
+d%5B1%5D+%2B+d%5B2%5D+=+880+%2B+660+
+d%5B1%5D+%2B+d%5B2%5D+=+1540+ mi
OK