document.write( "Question 1035209: When an airplane flies with a given wind, it can travel 3500km in 5 hours. When the same airplane flies in opposite direction against the wind it takes 7 hours to fly the same pldistance. Find the air speed of the plane and the speed of the wind \n" ); document.write( "
Algebra.Com's Answer #649859 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
So typical a type of travel rate exercise that this solution will be all in symbols, and will work for ALL of this type of exercise.\r
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\n" ); document.write( "\n" ); document.write( "Known variables, h,d,k
\n" ); document.write( "Time with wind, h
\n" ); document.write( "Time against wind, k
\n" ); document.write( "Distance one way for trip, d\r
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\n" ); document.write( "\n" ); document.write( "Unknown variables, r,w
\n" ); document.write( "Air speed for plane absent any wind, r
\n" ); document.write( "Speed of wind, w\r
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document.write( "                 RATE       TIME    DISTANCE\r\n" );
document.write( "WITHWIND         r+w          h       d\r\n" );
document.write( "AGAINSTWIND      r-w          k       d\r\n" );
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\r
\n" ); document.write( "\n" ); document.write( "Starting System of Equations: \"system%28%28r%2Bw%29h=d%2C%28r-w%29k=d%29\"\r
\n" ); document.write( "\n" ); document.write( "Solve this system for r and w.\r
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\n" ); document.write( "\n" ); document.write( "\"system%28rh%2Bwh=d%2Crk-wk=d%29\"\r
\n" ); document.write( "\n" ); document.write( "\"rh=d-wh\"
\n" ); document.write( "\"r=%28d-wh%29%2Fh\"-----* and you might return to this formula later.
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\n" ); document.write( "\"%28%28d-wh%29%2Fh%29k-wk=d\"\r
\n" ); document.write( "\n" ); document.write( "\"%28dk-whk%29%2Fh-wk=d\"\r
\n" ); document.write( "\n" ); document.write( "\"dk-whk-whk=dh\"\r
\n" ); document.write( "\n" ); document.write( "\"-2whk=dh-dk\"\r
\n" ); document.write( "\n" ); document.write( "\"2whk=dk-dh\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28w=%28dk-dh%29%2F%282hk%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Use w to determine value for r.
\n" ); document.write( "\"r=%28d-wh%29%2Fh\"
\n" ); document.write( "\"r=%28d-%28%28dk-kh%29%2F%282hk%29%29h%29%2Fh\"
\n" ); document.write( "\"r=%28d-%28dk-kh%29%2F%282k%29%29%2Fh\"
\n" ); document.write( "\"r=d%2Fh-%28dk-hk%29%2F%282kh%29\", LCD is 2kh;
\n" ); document.write( "\"r=%28d%2Fh%29%282k%29%2F%282k%29-%28dk-hk%29%2F%282kh%29\"
\n" ); document.write( "\"r=%282dk-%28dk-hk%29%29%2F%282kh%29\"
\n" ); document.write( "\"r=%282dk-dk%2Bhk%29%2F%282kh%29\"
\n" ); document.write( "\"r=%28dk%2Bhk%29%2F%282kh%29\"
\n" ); document.write( "\"highlight%28r=%28d%2Bh%29%2F%282h%29%29\"
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