document.write( "Question 1108806: A plane traveled 2992 miles with the wind in 5.5 hours and 2563 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.
\n" ); document.write( "The speed of the plane in still air is
\n" ); document.write( "___ mph. ​(Simplify your​ answer.) \n" ); document.write( "
Algebra.Com's Answer #723868 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A plane traveled 2992 miles with the wind in 5.5 hours and 2563 miles against the wind in the same amount of time.
\n" ); document.write( " Find the speed of the plane in still air and the speed of the wind.
\n" ); document.write( ":
\n" ); document.write( "let s = the speed in still air
\n" ); document.write( "let w = the speed of the wind
\n" ); document.write( "then
\n" ); document.write( "(s+w) = effective speed with the wind
\n" ); document.write( "and
\n" ); document.write( "(s-w) = effective speed against the wind
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for each way. Dist = time * speed
\n" ); document.write( "5.5(s+w) = 2992
\n" ); document.write( "5.5(s-w) = 2563
\n" ); document.write( "Distribute
\n" ); document.write( "5.5s + 5.5w = 2992
\n" ); document.write( "5.5s - 5.5w = 2563
\n" ); document.write( "-------------------adding eliminates w, find s
\n" ); document.write( "11s + 0 = 5555
\n" ); document.write( "s = 5555/11
\n" ); document.write( "s = 505 mph is the speed of the plane in still air\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
\n" );