document.write( "Question 348379: A plane that can fly 200 mph in still air makes a 330 mile flight with a tail wind and returns, flying into the same wind. What is the speed of the wind if the total flying time is 3 1/2 hours? \n" ); document.write( "
Algebra.Com's Answer #249060 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 3.5=330/(200+20)+330/(200-20) \n" ); document.write( "3.5=330/220+330/180 \n" ); document.write( "3.5=1.5+1.833 \n" ); document.write( "3.5=3.333 DOESN'T EQUATE TO A PROOF. \n" ); document.write( "**************************************** \n" ); document.write( "D=RT \n" ); document.write( "T=D/R \n" ); document.write( "3.5=330/(200+W)+330/(200-W) \n" ); document.write( "3.5=[330(200-W)+330(200+W)]/(200+W)(200-W) \n" ); document.write( "3.5=[66,000-330W+66,000+330W)/(40,000-W^2) \n" ); document.write( "3.5=132,000/(40,000-W^2) CROSS MULTIPLY. \n" ); document.write( "3.5(40,000-W^2)=132,000 \n" ); document.write( "140,000-3.5W^2=132,000 \n" ); document.write( "-3.5W^2=132,000-140,000 \n" ); document.write( "-3.5W^2=-8,000 \n" ); document.write( "W^2=-8,000/-3.5 \n" ); document.write( "W^2=2286 \n" ); document.write( "W=SQRT2286 \n" ); document.write( "W=47.81 MPH FOR THE HEAD WIND. \n" ); document.write( "PROOF: \n" ); document.write( "3.5=330/(200+47.81)+330/(200-47.81) \n" ); document.write( "3.5=330/247.81+330/152.19 \n" ); document.write( "3.5=1.33+2.168 \n" ); document.write( "3.5~3.5 \n" ); document.write( " \n" ); document.write( " |