document.write( "Question 377396: 2800 km trip
\n" ); document.write( "New plane flies 100 km faster
\n" ); document.write( "Trip time reduced 30 minutes\r
\n" ); document.write( "\n" ); document.write( "What is speed of new plane?
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Algebra.Com's Answer #268208 by mananth(16946)\"\" \"About 
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( "(\"%282800%28x%2B100%29-2800x%29%2F%28x%28x%2B100%29%29=1%2F2%29\"
\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
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\n" ); document.write( "m.ananth@hotmail.ca
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