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)     You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( "a= 1 , b= 5 , c= -1050 \n" ); document.write( " \n" ); document.write( "b^2-4ac= 25 + 4200 \n" ); document.write( "b^2-4ac= 4225 \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " |