document.write( "Question 637048: a plane traveled 1386 miles to singapore and back. The trip there was with the wind. It took 9 hours. The trip back was into the wind. the trip back took 11 hours. Find the speed of the plane in still air and the speed of the wind. \n" ); document.write( "
Algebra.Com's Answer #401375 by josmiceli(19441)\"\" \"About 
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Let \"+w+\" = the speed of the wind in mi/hr
\n" ); document.write( "Let \"+p+\" = the speed of the plane in still air
\n" ); document.write( "\"+p+%2B+w+\" = the plane's speed going with the wind
\n" ); document.write( "\"+p+-+w+\" = the plane's speed going against the wind
\n" ); document.write( "----------------
\n" ); document.write( "Equation going with the wind:
\n" ); document.write( "(1) \"+1386+=+%28+p+%2B+w+%29%2A9+\"
\n" ); document.write( "Equation going against the wind:
\n" ); document.write( "(2) \"+1386+=+%28+p+-+w+%29%2A11+\"
\n" ); document.write( "----------------------
\n" ); document.write( "(1) \"+154+=+p+%2B+w+\"
\n" ); document.write( "(1) \"+p+=+154+-+w+\"
\n" ); document.write( "Substitute this result into (2)
\n" ); document.write( "(2) \"+126+=+p+-+w+\"
\n" ); document.write( "(2) \"+126+=+154+-+w+-+w+\"
\n" ); document.write( "(2) \"+126+-+154+=+-2w+\"
\n" ); document.write( "(2) \"+-28+=+-2w+\"
\n" ); document.write( "(2) \"+w+=+14+\"
\n" ); document.write( "Substitute this result into (1) or (2)
\n" ); document.write( "(2) \"+126+=+p+-+14+\"
\n" ); document.write( "(2) \"+p+=+126+%2B+14+\"
\n" ); document.write( "(2) \"+p+=+140+\"
\n" ); document.write( "The plane's speed in still air is 140 mi/hr
\n" ); document.write( "The speed of the wind is 14 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+1386+=+%28+140+%2B+14+%29%2A9+\"
\n" ); document.write( "(1) \"+1386+=+154%2A9+\"
\n" ); document.write( "(1) \"+1386+=+1386+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );