document.write( "Question 1161270: Solve by elimination method.\r
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document.write( "An airplane travels 400 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. Find the rate of the wind.
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Algebra.Com's Answer #784782 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "An airplane travels 400 miles against the wind in 5 hours, and makes the return trip with the same wind in 2 hours. Find the rate of the wind. \n" ); document.write( "--------- \n" ); document.write( "a = airplane's windspeed \n" ); document.write( "w = windspeed \n" ); document.write( "------------ \n" ); document.write( "400/5 = 80 mi/hr upwind \n" ); document.write( "400/2 = 200 mi/hr downwind \n" ); document.write( "------ \n" ); document.write( "a + w = 200 \n" ); document.write( "a - w = 80 \n" ); document.write( "------------------- Add \n" ); document.write( "2a = 280 \n" ); document.write( "a = 140 \n" ); document.write( "w = 60 \n" ); document.write( "======================= \n" ); document.write( "a = average of the 2, = (80 + 200)/2 = 140 mi/hr \n" ); document.write( "w = 200 - 140 = 60 mi/hr \n" ); document.write( " |