document.write( "Question 200790: An aircraft can fly 960 miles in 4 hours with the wind and travel the same distance against the wind in 6 hours. What is the wind speed?
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Algebra.Com's Answer #151035 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! ): An aircraft can fly 960 miles in 4 hours with the wind and travel the same distance against the wind in 6 hours. What is the wind speed?\r \n" ); document.write( "\n" ); document.write( "------------------- \n" ); document.write( "let \"p\" be the speed of the plane in calm air \n" ); document.write( "Let \"w\" be the wind speed \n" ); document.write( "------------------- \n" ); document.write( "With the wind DATA: \n" ); document.write( "distance = 960 miles ; time = 4 hrs ; rate = 960/4= 240 mph \n" ); document.write( "------------------- \n" ); document.write( "Against the wind DATA: \n" ); document.write( "distance = 960 miles ; time = 6 hrs ; rate = 960/6 = 160 mph \n" ); document.write( "------------------- \n" ); document.write( "Eqations: \n" ); document.write( "p + w = 240 mph \n" ); document.write( "p - w = 160 mph \n" ); document.write( "------------------- \n" ); document.write( "2p = 400 mph \n" ); document.write( "p = 200 mph (speed of the plane in calm air) \n" ); document.write( "------------------- \n" ); document.write( "200 + w = 240 \n" ); document.write( "w = 40 mph (wind speed) \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |