document.write( "Question 184155: A jet, traveling at an average speed of 420 miles per hour in still air, flew 240 miles and back in 1 hour and 10 minutes. What is the average speed of the wind in mph? \n" ); document.write( "
Algebra.Com's Answer #138221 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 240/(420-w)+240/(420+w)=70/60 \n" ); document.write( "[240(420-w)+240(420+w)]/(420+w)(420-w)=70/60 \n" ); document.write( "(100,800-240w+100,800+240w/(176,400-w^2)=70/60 \n" ); document.write( "201,600/(176,400-w^2)=70/60 \n" ); document.write( "60*201,600=70(176,400-70w^2) \n" ); document.write( "12,096,000=12,348,000-70w^2 \n" ); document.write( "70w^2=-12,096,000+12,348,000=0 \n" ); document.write( "70w^2=252,000 \n" ); document.write( "w^2=252,000/70 \n" ); document.write( "w^2=3600 \n" ); document.write( "w=sqrt3600 \n" ); document.write( "w=60 mph. for the wind. \n" ); document.write( "Proof: \n" ); document.write( "240/(420-60)+240/(420+60)=70/60 \n" ); document.write( "240/360+240/480=70/60 \n" ); document.write( "2/3+1/2=7/6 \n" ); document.write( "7/6=7/6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |