document.write( "Question 1177849: While taking a trip to Seattle, a plane flies against the wind 288 miles and then returns home with the same wind. In calm wind, the plane can fly 300mph. If the total flying time was 2 hours, what is the speed of the wind? \n" ); document.write( "
Algebra.Com's Answer #806972 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
While taking a trip to Seattle, a plane flies against the wind 288 miles and then returns home with the same wind. In calm wind, the plane can fly 300mph. If the total flying time was 2 hours, what is the speed of the wind?\r
\n" ); document.write( "\n" ); document.write( "let wind speed be x mph\r
\n" ); document.write( "\n" ); document.write( "headwind speed = 300-x
\n" ); document.write( "tailwind speed = 300+x\r
\n" ); document.write( "\n" ); document.write( "distance =288
\n" ); document.write( "Time =2 hours
\n" ); document.write( "time to seattle and return =2 \r
\n" ); document.write( "\n" ); document.write( "288/(300-x) + 288/(300+x)=2\r
\n" ); document.write( "\n" ); document.write( "(288(300-x) +288(300+x))/((300+x)(300-x))=2\r
\n" ); document.write( "\n" ); document.write( "(288(300-x) +288(300+x)) = (90000-x^2)*2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "86400-288x +86400 +288x= 180000-2x^2\r
\n" ); document.write( "\n" ); document.write( "2x^2= 7200\r
\n" ); document.write( "\n" ); document.write( "x^2 =3600
\n" ); document.write( "x= 60 mph wind speed\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );