document.write( "Question 347091: A hawk can fly 300 miles in 8 hours with the wind. Flying against the wind, the hawk covers only one-third of the distance in 7 hours. What is the rate of the wind? \n" ); document.write( "
Algebra.Com's Answer #248176 by mananth(16946)![]() ![]() You can put this solution on YOUR website! speed of hawk in still air = x \n" ); document.write( "speed of wind = y \n" ); document.write( "distance / speed = time \n" ); document.write( "300/(x+y)=8 \n" ); document.write( "8x+8y=300 \n" ); document.write( "... \n" ); document.write( "against wind \n" ); document.write( "100/(x-y)=7 \n" ); document.write( "7x-7y=100 \n" ); document.write( "... \n" ); document.write( "multiply first equation by 7 and second equation by 8 and add them \n" ); document.write( "56x+56y=2100 \n" ); document.write( "56x-56y=800 \n" ); document.write( "... \n" ); document.write( "112x=2900 \n" ); document.write( "x= 25.89 \n" ); document.write( "plug the value of x in any equation you will get y = 11.6 speed of wind \n" ); document.write( " |