document.write( "Question 540909: If a plane can travel 500 miles per hour with the wind and 420 miles per hour against the wind, find the speed of the plane in still air. \n" ); document.write( "
Algebra.Com's Answer #353905 by Theo(13342)![]() ![]() You can put this solution on YOUR website! p = speed of plane \n" ); document.write( "w = speed of wind \n" ); document.write( "p + w = 500 mph (traveling with the wind) \n" ); document.write( "p - w = 420 mph (travfeling against the wind) \n" ); document.write( "add these 2 equations together and you get: \n" ); document.write( "2p = 920 \n" ); document.write( "divide both sides by 2 to get: \n" ); document.write( "p = 460 mph. \n" ); document.write( "this means that w = 40 mph. \n" ); document.write( "with the wind, the speed is 460 mph for the plane plus 40 mph for the wind which equals a total of 500 mph. \n" ); document.write( "against the wind, the speed is 460 mph for the plane minus 40 mph for the wind which equals a total of 420 mph. \n" ); document.write( "number check out. \n" ); document.write( "your answer is: \n" ); document.write( "speed of the plane is 460 mph. \n" ); document.write( "speed of the wind is 40 mph. \n" ); document.write( " |