document.write( "Question 390112: I cannot figure out how to set up this problem... I created a chart with the information, but just don't feel like I have enough to solve! Can you help? \r
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document.write( "Airplane A travels 2800 km at a certain speed. Airplane B travels 2000 km at a speed that is 50 km/h faster than Plane A in 3 hours less time. Find the speed of each. \n" );
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Algebra.Com's Answer #276564 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Airplane A travels 2800 km at a certain speed. Airplane B travels 2000 km at a speed that is 50 km/h faster than Plane A in 3 hours less time. Find the speed of each. \n" ); document.write( "... \n" ); document.write( "Airplane A travels 2800 km at x mph \n" ); document.write( "Airplane B travels 2000 km at x+50 mph \n" ); document.write( " ... \n" ); document.write( "Time plane A - time plane B = 3 hours \n" ); document.write( "... \n" ); document.write( "t=d/r \n" ); document.write( ".. \n" ); document.write( "2800/x - 2000/(x+50)=3 \n" ); document.write( "LCD = x(x+50) \n" ); document.write( "(2800(x+50)-2000x)/x(x+50)=3 \n" ); document.write( "2800x+140000=2000x = 3x(x+50) \n" ); document.write( "800x+140000=3x^2+150x \n" ); document.write( "3x^2-650x-140000=0 \n" ); document.write( "3x^2-1050x+400x-140000=0 \n" ); document.write( "3x(x-350)+400(x-350)=0 \n" ); document.write( "(x-350)(3x+400)=0 \n" ); document.write( "x = 350 mph the speed of plane A \n" ); document.write( "speed of plane B = 350 +50 = 400 mph \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |