document.write( "Question 1039246: A plane travels at a speed of 160 mph in still air. Flying with a tailwind the plane is clocked over a distance of 800 miles. Flying against a headwind, it takes 3 hours longer to complete the return trip. What was the wind velocity? \n" ); document.write( "
Algebra.Com's Answer #653991 by jorel555(1290)![]() ![]() ![]() You can put this solution on YOUR website! Let w be the wind speed. Then: \n" ); document.write( "800/160+r +3=800/160-r \n" ); document.write( "800(160-r)+3(25600-r^2)=800(160+r) \n" ); document.write( "128000-800r+76800-3r^2=128000+800r \n" ); document.write( "3r^2+1600r-76800=0 \n" ); document.write( "Using the quadratic formula, we get r=44.317,-577.65 \n" ); document.write( "Throwing out the negative result, we get the wind velocity as 44.317 mph!!!!!!!! \n" ); document.write( " |