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)![]() ![]() ![]() 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( " |