document.write( "Question 377396: 2800 km trip
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document.write( "New plane flies 100 km faster
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document.write( "Trip time reduced 30 minutes\r
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document.write( "What is speed of new plane? \n" );
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Algebra.Com's Answer #268208 by mananth(16946)![]() ![]() You can put this solution on YOUR website! distance = 2800 km \n" ); document.write( "let speed of plane be x \n" ); document.write( "time taken = 2800/x \n" ); document.write( "...\r \n" ); document.write( "\n" ); document.write( "New plane speed = x+100 \n" ); document.write( "time= 2800/(x+100) \n" ); document.write( "2800/x - 2800/(x+100)= 1/2 \n" ); document.write( ".. \n" ); document.write( "LCD = x(x+100) \n" ); document.write( "( \n" ); document.write( "cross multiply \n" ); document.write( ".. \n" ); document.write( "2(2800x+280000-2800x)=x(x+100) \n" ); document.write( "2*280,000=x^2+100x \n" ); document.write( "x^2+100x-560,000 =0 \n" ); document.write( "x^2+800x-700x-560,000=0 \n" ); document.write( "x(x+800)-700(x+800)=0 \n" ); document.write( "(x+800)(x-700)=0 \n" ); document.write( "x=-800 \n" ); document.write( "OR x= 700 \n" ); document.write( ".. \n" ); document.write( "The speed of new plane = 700+100 = 800 kmph \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |