document.write( "Question 500268: if a bus travels 300km at a given speed. if the speed is increased to 10 kph the trip would have been reduced by one hour.find the speed of the bus. \n" ); document.write( "
Algebra.Com's Answer #338091 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the speed of the bus be x \n" ); document.write( "increased by 10 \n" ); document.write( "so speed = x+10\r \n" ); document.write( "\n" ); document.write( "time with original speed - time with new speed = 1\r \n" ); document.write( "\n" ); document.write( "300/x-300/(x+10)=1\r \n" ); document.write( "\n" ); document.write( "LCD = x(x+10)\r \n" ); document.write( "\n" ); document.write( "300*(x+10)-300x=x(x+10) \n" ); document.write( "300x+3000-300x=x^2+10x \n" ); document.write( "x^2+10x-3000=0 \n" ); document.write( "x^2+60x-50x-3000=0 \n" ); document.write( "x(x+60)-50(x+60)=0 \n" ); document.write( "(x-50)(x+60)=0 \n" ); document.write( "x=50 which is positive, the speed of the bus \n" ); document.write( " \n" ); document.write( " |