document.write( "Question 414660: A plane traveled 756 miles to Shanghai and back. the trip was with wind. it took 9 hours. the trip back was into the air. the trip back took 18 hours. find the speed of the plane in still air and the speed of the wind. \r
\n" ); document.write( "\n" ); document.write( "so far..i divided 756/9 = 84 (wind) and i divided 756/18 = 42(air)
\n" ); document.write( "but i don't know how to set the equation up.\r
\n" ); document.write( "\n" ); document.write( "if you could that would be great! :)
\n" ); document.write( "

Algebra.Com's Answer #290861 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You have 2 trips, each one is 756 mi.
\n" ); document.write( "Let \"s\" = the speed of the plane in still air
\n" ); document.write( "Let \"w\" = the wind speed
\n" ); document.write( "Speed with the wind = \"s+%2B+w\"
\n" ); document.write( "Speed against the wind = \"s+-+w\"
\n" ); document.write( "\"d+=+756\" mi
\n" ); document.write( "----------------------
\n" ); document.write( "given:
\n" ); document.write( "With the wind:
\n" ); document.write( "(1) \"756+=+%28s+%2B+w%29%2A9\"
\n" ); document.write( "against the wind:
\n" ); document.write( "(2) \"756+=+%28s+-+w%29%2A18\"
\n" ); document.write( "-----------------
\n" ); document.write( "(1) \"756+=+%28s+%2B+w%29%2A9\"
\n" ); document.write( "(1) \"84+=+s+%2B+w+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"756+=+%28s+-+w%29%2A18\"
\n" ); document.write( "(2) \"42+=+s+-+w+\"
\n" ); document.write( "----------------
\n" ); document.write( "Add equations (1) and (2)
\n" ); document.write( "\"126+=+2s\"
\n" ); document.write( "\"s+=+63\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"42+=+s+-+w+\"
\n" ); document.write( "(2) \"42+=+63+-+w+\"
\n" ); document.write( "(2) \"w+=+63+-+42\"
\n" ); document.write( "\"w+=+21\"
\n" ); document.write( "The speed of the plane in still air is 63 mi/hr
\n" ); document.write( "The wind speed is 21 mi/hr
\n" ); document.write( "check answers:
\n" ); document.write( "(1) \"756+=+%28s+%2B+w%29%2A9\"
\n" ); document.write( "(1) \"756+=+%2863+%2B+21%29%2A9\"
\n" ); document.write( "(1) \"756+=+84%2A9\"
\n" ); document.write( "(1) \"756+=+756\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"756+=+%28s+-+w%29%2A18\"
\n" ); document.write( "(2) \"756+=+%2863+-+21%29%2A18\"
\n" ); document.write( "(2) \"756+=+42%2A18\"
\n" ); document.write( "(2) \"756++=+756\"
\n" ); document.write( "OK
\n" ); document.write( "In practical terms, I don't think an airplane could
\n" ); document.write( "stay in the air doing only 63 mi/hr, but I think my method is good.
\n" ); document.write( "
\n" );