document.write( "Question 600676: at max speed, an airplane tavels 2100 miles aginst the wind in 6 hours. Flying with the wind, the plane can travel the same distance in 4 hours. what is the speed of the plane with no wind? \n" ); document.write( "

Algebra.Com's Answer #379428 by Edwin McCravy(20056) $\"\"$ $\"About$

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at max speed, an airplane tavels 2100 miles aginst the wind in 6 hours. Flying with the wind, the plane can travel the same distance in 4 hours. what is the speed of the plane with no wind?
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document.write( "Let w = the speed of the wind\r\n" );
document.write( "Let p = the speed of the plane with no wind\r\n" );
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document.write( "Then speed against the wind = (p-w)\r\n" );
document.write( "And speed with the wind = (p+w)\r\n" );
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document.write( "                      distance  =   rate · time\r\n" );
document.write( "plane against wind     2100     =   (p-w)·  6   \r\n" );
document.write( "plane with wind        2100     =   (p+w)·  4\r\n" );
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document.write( "           2100 = (p-w)·6\r\n" );
document.write( "           2100 = (p+w)·4\r\n" );
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document.write( "Divide both sides of the first equation by 6\r\n" );
document.write( "Divide both sides of the second equation by 4\r\n" );
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document.write( "            350 = p - w\r\n" );
document.write( "            525 = p + w\r\n" );
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document.write( "Solve that system and get p = 437.5 mph, w = 87.5 mp\r\n" );
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document.write( "Edwin

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