document.write( "Question 217348: An airplane, traveling with a tail wind, travels 1000 miles in 2 hours. The return trip, against the wind, takes 2.5 hours. Find the speed of the wind(assume that both rates are constant) \n" ); document.write( "
Algebra.Com's Answer #163919 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! An airplane, traveling with a tail wind, travels 1000 miles in 2 hours. The return trip, against the wind, takes 2.5 hours. Find the speed of the wind(assume that both rates are constant) \n" ); document.write( "------------- \n" ); document.write( "w = wind speed \n" ); document.write( "r = plane's airspeed \n" ); document.write( "--------- \n" ); document.write( "1000 = 2(r+w) \n" ); document.write( "1000 = 2.5(r-w) \n" ); document.write( "r + w = 500 \n" ); document.write( "r - w = 400 \n" ); document.write( "------------ \n" ); document.write( "2r = 900 \n" ); document.write( "r = 450 mph \n" ); document.write( "w = 50 mph \n" ); document.write( " \n" ); document.write( " |