document.write( "Question 665713: A motorist travels from Town A to Town B which are 75km apart at an average speed of x kph.If he increases his average speed by 10kph,he would have reached Town B by 15 minutes earlier.Find the Value of x \n" ); document.write( "
Algebra.Com's Answer #414043 by mananth(16946) You can put this solution on YOUR website! speed x \n" ); document.write( "speed x + 10 \n" ); document.write( " \n" ); document.write( "Distance = same 75 km \n" ); document.write( "original time – time with increased speed =0.25 hour \n" ); document.write( "t=d/t \n" ); document.write( "75/x-75/(x+10)= 0.25 \n" ); document.write( "LCD= x ( x + 10 ) \n" ); document.write( "multiply by LCD \n" ); document.write( "75(x+10)-75x=0.25x(x+10) \n" ); document.write( "75x+750 -75x=0.25X^2+2.5x \n" ); document.write( "750=0.25X^2+2.5x \n" ); document.write( "0.25X^2 +2.5x-750 =0 \n" ); document.write( "Find roots of the quadratic equation \n" ); document.write( "a= 0.25 b= 2.5 c= -750 \n" ); document.write( " \n" ); document.write( "x1=(-2.5+sqrt(6.25-750))/0.5 \n" ); document.write( "x1=( -2.5 + 27.5 )/ 0.5 \n" ); document.write( "x1= 50 \n" ); document.write( " \n" ); document.write( "x2=(-7-sqrt(49-20)/2 \n" ); document.write( "x2=( -2.5 - 27.5 )/ 0.5 \n" ); document.write( "x2= -60 \n" ); document.write( "Speed cannot be negative. \r \n" ); document.write( "\n" ); document.write( "x= 50 km/h\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |