document.write( "Question 298972: What is Amy's speed if she travels 450 miles at a certain speed. If the car had gone 15mph faster, the trip would have taken 1 hour less? \n" ); document.write( "
Algebra.Com's Answer #214967 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let her speed be x\r \n" ); document.write( "\n" ); document.write( "she traveled 450 miles\r \n" ); document.write( "\n" ); document.write( "time taken by her = 450/x\r \n" ); document.write( "\n" ); document.write( "if her speed was x-15 it would have taken 450 /x + 15\r \n" ); document.write( "\n" ); document.write( "450/x - 450 / x+15 = 1\r \n" ); document.write( "\n" ); document.write( "450(x+15)-450x / x(x+15)=1\r \n" ); document.write( "\n" ); document.write( "450x +6750-450x =x^2 +15x\r \n" ); document.write( "\n" ); document.write( "x^2+15x-6750=0\r \n" ); document.write( "\n" ); document.write( "x^2+90x-75x-6750=0\r \n" ); document.write( "\n" ); document.write( "x(x+90)-75(x+90)=0\r \n" ); document.write( "\n" ); document.write( "(x-75)(x+90)=0\r \n" ); document.write( "\n" ); document.write( "x=75 a positive value which is her speed\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |