document.write( "Question 1017067: Flying with the wind, a plane flew 960 mi in 3 h. Against the wind, the plane required 4 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind. \n" ); document.write( "
Algebra.Com's Answer #633410 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Flying with the wind, a plane flew 960 mi in 3 h. Against the wind, the plane required 4 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.
\n" ); document.write( "let x=rate of plane in calm air
\n" ); document.write( "let c=rate of wind
\n" ); document.write( "x+c=rate of plane with the wind
\n" ); document.write( "x-c=rate of plane against the wind
\n" ); document.write( "travel time*rate=distance
\n" ); document.write( "3(x+c)=960
\n" ); document.write( "4(x-c)=960
\n" ); document.write( "3x+3c=960
\n" ); document.write( "4x-4c=960
\n" ); document.write( "12x+12c=3840
\n" ); document.write( "12x-12c=2880
\n" ); document.write( "add:
\n" ); document.write( "24x=6720
\n" ); document.write( "x=280
\n" ); document.write( "4c=4x-960
\n" ); document.write( "4c=160
\n" ); document.write( "c=40
\n" ); document.write( "rate of plane with the wind=320 mph
\n" ); document.write( "x-c=rate of plane against the wind=240 mph\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );