document.write( "Question 576149: Without any wind an airplane flies at 200 miles per hour. It travels 800 miles into the wind and then returns with the wind in a total time of 8 hours and 20 minutes. Find the average speed of the wind? \n" ); document.write( "
Algebra.Com's Answer #369745 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Plane speed = 200 m/h \n" ); document.write( "Wind speed = x m/h \n" ); document.write( " \n" ); document.write( "against wind =200-x \n" ); document.write( "with wind =200 +x \n" ); document.write( " \n" ); document.write( "Total distance =800 miles Total Time= 8.30 hours \n" ); document.write( "Time upstream + time downstream =8.3 hours \n" ); document.write( " \n" ); document.write( "800/(200-x)+800/(200+x)=8.3 \n" ); document.write( "800(200 +x)+800 (200-x)=8.30(40000-X^2 ) \n" ); document.write( "160000+ 800x+160000-800x=332000 -8.3X^2 \n" ); document.write( "320000 --332000=-8.3 X^2 \n" ); document.write( "12000 =8.3 X^2 \n" ); document.write( " \n" ); document.write( "x= \n" ); document.write( "x= 38.02 mph \n" ); document.write( " \n" ); document.write( " |