document.write( "Question 519213: A bicycle trip of 90 miles would have taken an hour less if the average speed had been increased by 3mi/h. Find the average speed of the biclycle \n" ); document.write( "
Algebra.Com's Answer #345470 by mananth(16949) You can put this solution on YOUR website! speed x \n" ); document.write( "speed x - 3 \n" ); document.write( " \n" ); document.write( "Distance = same 90 miles \n" ); document.write( "original time – time with increased speed =1 \n" ); document.write( "t=d/t \n" ); document.write( "90/x-90 /(x+3) =1 \n" ); document.write( "LCD= x(x+3 ) \n" ); document.write( "multiply by LCD \n" ); document.write( "90(x+3)-90x=x(x +3) \n" ); document.write( "90x+270-90x=X^2 +3x \n" ); document.write( "270 = 1 x^2 + 3 x \n" ); document.write( "x^2 + 3 x - 270 = 0 \n" ); document.write( " \n" ); document.write( "a= 1 b= 3 c= -270 \n" ); document.write( " \n" ); document.write( "x1=(-3+sqrt(9-(-1080))/ 2 \n" ); document.write( "= 1089 \n" ); document.write( "x1= 15 \n" ); document.write( " \n" ); document.write( "x2=(3-sqrt(9-(-1080)) / 2 \n" ); document.write( " \n" ); document.write( "x2= -18\r \n" ); document.write( "\n" ); document.write( "ignore negative\r \n" ); document.write( "\n" ); document.write( "speed = 15 mph\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |