document.write( "Question 1027345: An airliner flies against the wind on one leg of its round trip in 5.5 hours. It flies back to its starting point, with the wind in 5 hours. it the average speed of the wind is 16 miles per hour, what is the speed of the airliner in still air?
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Algebra.Com's Answer #642535 by mananth(16946)![]() ![]() You can put this solution on YOUR website! An airliner flies against the wind on one leg of its round trip in 5.5 hours. \n" ); document.write( "let speed of plane in still air be x \n" ); document.write( "speed against wind = x-16 \n" ); document.write( "time = 5.5 hours \n" ); document.write( "It flies back to its starting point, with the wind in 5 hours. \n" ); document.write( "speed with wind = x+16 \n" ); document.write( "time = 5 hours\r \n" ); document.write( "\n" ); document.write( "distance is same\r \n" ); document.write( "\n" ); document.write( "d = rt\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x-16)*5.5 = (x+16)*5\r \n" ); document.write( "\n" ); document.write( "(x-16)*11/2 = (x+16)*5\r \n" ); document.write( "\n" ); document.write( "11x-176 = 10x+160\r \n" ); document.write( "\n" ); document.write( "x= 176+160 \n" ); document.write( "x=336 mph\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |