document.write( "Question 988491: An airplane flies between Boston and Cleveland. During a round-trip flight, the plane flew a distance of 630 mi each way. The trip with a tailwind took 3 hours. The return trip agains the wind took 3.5 hours. Find the speed of the wind. Find the speed of the plane in still air
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Algebra.Com's Answer #609024 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+w+\" = windspeed in mi/hr
\n" ); document.write( "Let \"+s+\" = the speed of the plane in still air
\n" ); document.write( "\"+s+%2B+w+\" = plane's speed going with the wind
\n" ); document.write( "\"+s+-+w+\" = plane's speed going against the wind
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "(1) \"+630+=+%28+s+%2B+w+%29%2A3+\"
\n" ); document.write( "(2) \"+630+=+%28+s+-+w+%29%2A3.5+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) \"+s+%2B+w+=+210+\"
\n" ); document.write( "(2) \"+s+-+w+=+180+\" ( now add equations )
\n" ); document.write( "--------------------
\n" ); document.write( "\"+2s+=+390+\"
\n" ); document.write( "\"+s+=+195+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+s+%2B+w+=+210+\"
\n" ); document.write( "(1) \"+195+%2B+w+=+210+\"
\n" ); document.write( "(1) \"+w+=+15+\"
\n" ); document.write( "-----------------
\n" ); document.write( "The windspeed is 15 mi/hr
\n" ); document.write( "The speed of th plane in still air is 195 mi/hr
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+630+=+%28+s+%2B+w+%29%2A3+\"
\n" ); document.write( "(1) \"+630+=+%28+195+%2B+15+%29%2A3+\"
\n" ); document.write( "(1) \"+630+=+210%2A3+\"
\n" ); document.write( "(1) \"+630+=+630+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+630+=+%28+s+-+w+%29%2A3.5+\"
\n" ); document.write( "(2) \"+630+=+%28+195+-+15+%29%2A3.5+\"
\n" ); document.write( "(2) \"+630+=+180%2A3.5+\"
\n" ); document.write( "(2) \"+630+=+630+\"
\n" ); document.write( "OK
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