document.write( "Question 883307: I am having some difficulty with this problem below and I could use assistance!\r
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document.write( "Flying against the wind, an airplane travels 6120 km in 9 hours. Flying with the wind, the same plane travels 2940 km in 3 hours. What is the rate of the plane in still air and what is the rate of the wind? \n" );
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Algebra.Com's Answer #533438 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Flying against the wind, an airplane travels 6120 km in 9 hours. Flying with the wind, the same plane travels 2940 km in 3 hours. What is the rate of the plane in still air and what is the rate of the wind? \n" ); document.write( "----- \n" ); document.write( "rate against the wind = 6120/9 = 680 km/h \n" ); document.write( "rate with the wind = 2940/3 = 980 km/h \n" ); document.write( "-------------------- \n" ); document.write( "Equations: \n" ); document.write( "p + w = 980 \n" ); document.write( "p - w = 680 \n" ); document.write( "---- \n" ); document.write( "Add and solve for plane speed: \n" ); document.write( "2p = 1660 \n" ); document.write( "p = 830 km/h (plane speed in still air) \n" ); document.write( "---- \n" ); document.write( "Solve for \"w\": \n" ); document.write( "2w = 300 \n" ); document.write( "w = 150 km/h (speed of the wind) \n" ); document.write( "---------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |