document.write( "Question 796955: This is a word problem I am having trouble setting it up.
\n" ); document.write( "It takes 5 hours for a jet plane traveling from L.A to New York with a wind blowing it from west to east. On the return trip it took the jet plane 6 hours. The distance between L.A and New York is approximately 4,000 miles.
\n" ); document.write( "How fast is the airplane if there is no wind? And how fast was the wind blowing?
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Algebra.Com's Answer #481628 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+w+\" = the speed of the wind
\n" ); document.write( "Let \"+s+\" = the speed of the plane in still air
\n" ); document.write( "\"+s+%2B+w+\" = the plane's speed going LA to NY
\n" ); document.write( "\"+s+-+w+\" = the plane's speed going NY to LA
\n" ); document.write( "----------------
\n" ); document.write( "Flying LA to NY:
\n" ); document.write( "(1) \"+4000+=+%28+s+%2B+w+%29%2A5+\"
\n" ); document.write( "Flying NY to LA:
\n" ); document.write( "(2) \"+4000++=+%28+s+-+w+%29%2A6+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) \"+4000+=+5s+%2B+5w+\"
\n" ); document.write( "(2) \"+4000+=+6s+-+6w+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by \"+6+\"
\n" ); document.write( "Multiply both sides of (2) by \"+5+\"
\n" ); document.write( "Then add the equations
\n" ); document.write( "---------------------
\n" ); document.write( "(1) \"+24000+=+30s+%2B+30w+\"
\n" ); document.write( "(2) \"+20000+=+30s+-+30w+\"
\n" ); document.write( "\"+44000+=+60s+\"
\n" ); document.write( "\"+s+=+733.333+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+4000+=+5s+%2B+5w+\"
\n" ); document.write( "(1) \"+800+=+s+%2B+w+\"
\n" ); document.write( "(1) \"+w+=+800+-+733.333+\"
\n" ); document.write( "(1) \"+w+=+66.666+\"
\n" ); document.write( "The speed of the wind is 66.666 mi/hr
\n" ); document.write( "The speed of the plane in still air is 733.333 mi/hr
\n" ); document.write( "-----------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+4000+=+%28+s+%2B+w+%29%2A5+\"
\n" ); document.write( "(1) \"+4000+=+%28+733.333+%2B+66.666+%29%2A5+\"
\n" ); document.write( "(1) \"+4000+=+800%2A5+\"
\n" ); document.write( "(1) \"+4000+=+4000+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+4000++=+%28+s+-+w+%29%2A6+\"
\n" ); document.write( "(2) \"+4000++=+%28+733.333+-+66.666+%29%2A6+\"
\n" ); document.write( "(2) \"+4000+=+666.666%2A6+\"
\n" ); document.write( "(2) \"+4000+=+4000+\"
\n" ); document.write( "OK\r
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