document.write( "Question 739969: A plane travels at a speed of 205 mph in still air. Flying with a tailwind, the plane is clocked over a distance of 800 miles. Flying against a headwind, it takes 1 hour more time to complete the return trip. What was the wind velocity? \n" ); document.write( "
Algebra.Com's Answer #451436 by mananth(16946)![]() ![]() You can put this solution on YOUR website! plane speed = 205 mph \n" ); document.write( "wind sped = x mph\r \n" ); document.write( "\n" ); document.write( "against wind = 205-x \n" ); document.write( "with wind = 205 +x\r \n" ); document.write( "\n" ); document.write( "t=d/r\r \n" ); document.write( "\n" ); document.write( "time against wind - time with wind =1\r \n" ); document.write( "\n" ); document.write( "800/(205-x)-800/(205+x) =1\r \n" ); document.write( "\n" ); document.write( "800(205+x)-800(205-x)=(205-x)(205+x)\r \n" ); document.write( "\n" ); document.write( "164000+800x-164000+800x=42025-x^2\r \n" ); document.write( "\n" ); document.write( "1600x+x^2-42025=0\r \n" ); document.write( "\n" ); document.write( "solve for x the wind speed should get wind speed = 25.85 mph \n" ); document.write( " |