document.write( "Question 805302: Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
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Algebra.Com's Answer #485172 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x= Plane speed in still air \n" ); document.write( "y= wind speed \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 158 .............1 \n" ); document.write( "Total value \n" ); document.write( "1 x -1 y = 112 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 1 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "1 x y = 158 \n" ); document.write( " x - y = 112 \n" ); document.write( "Add the two equations \n" ); document.write( "2 x = 270 \n" ); document.write( "/ 2 \n" ); document.write( "x = 135 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 158 \n" ); document.write( "135 + y = 158 \n" ); document.write( " y = 158 -135 \n" ); document.write( " y = 23 \n" ); document.write( " y = 23 \n" ); document.write( "x= 135 Plane speed in still air 135 \n" ); document.write( "y= 23 wind speed 23 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |