document.write( "Question 316396: A plane travesl 880 miles in 4 hours against the wind and 1000 miles in 2 hours with the same wind. Find the speed of the plane in still air and the speed of the wind. \n" ); document.write( "
Algebra.Com's Answer #226315 by mananth(16949) You can put this solution on YOUR website! let speed in still air be x \n" ); document.write( "Let speed of wind be y \n" ); document.write( ".. \n" ); document.write( "speed against wind = x-y \n" ); document.write( "distance traveled = 880 miles \n" ); document.write( "Time taken = 4 hours \n" ); document.write( "speed = 880/4 = 220 mph \n" ); document.write( "x-y =220 \n" ); document.write( ".. \n" ); document.write( "with wind 1000 miles \n" ); document.write( "time = 2 hours \n" ); document.write( "speed = 500 mph \n" ); document.write( "x+y=500 \n" ); document.write( ".. \n" ); document.write( "Add the two equations \n" ); document.write( "x-y+x+y=720 \n" ); document.write( "2x=720 \n" ); document.write( "x=360 mph speed of plane in still air \n" ); document.write( "x-y=220 \n" ); document.write( "plug the value of x in the equation \n" ); document.write( "y=140 mph wind speed \n" ); document.write( " |