document.write( "Question 518908: if a car travelled 5 kilometer an hour faster it would take one hour les to travel 210 km.What is the speed of car and what time does it take. \n" ); document.write( "
Algebra.Com's Answer #345296 by mananth(16946)\"\" \"About 
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original time - time after speed increase =1\r
\n" ); document.write( "\n" ); document.write( "t=d/r\r
\n" ); document.write( "\n" ); document.write( "d=210
\n" ); document.write( "r=x
\n" ); document.write( "210/x -210/(x+5)=1\r
\n" ); document.write( "\n" ); document.write( "multiply by the LCD x(x+5)\r
\n" ); document.write( "\n" ); document.write( "210(x+5)-240x=x(x+5)
\n" ); document.write( "210x+1050-210x=x^2+5x\r
\n" ); document.write( "\n" ); document.write( "x^2+5x-1050=0\r
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 1 , b= 5 , c= -1050
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\n" ); document.write( "b^2-4ac= 25 + 4200
\n" ); document.write( "b^2-4ac= 4225 \"%09sqrt%28%094225%09%29=%0965%09\"
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "x1=( -5 + 65 )/ 2
\n" ); document.write( "x1= 30
\n" ); document.write( "x2=( -5 -65 ) / 2
\n" ); document.write( "x2= -35
\n" ); document.write( "Ignore negative value
\n" ); document.write( "speed = 30 mph\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca
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