document.write( "Question 765294: a motorist drove his car 200mi. If his speed has been 5 mph faster he could have saved 2hrs travel time, what was his speed? \n" ); document.write( "
Algebra.Com's Answer #466073 by lwsshak3(11628) ![]() You can put this solution on YOUR website! a motorist drove his car 200mi. If his speed has been 5 mph faster he could have saved 2hrs travel time, what was his speed? \n" ); document.write( "*** \n" ); document.write( "let x= \n" ); document.write( "x+5=\"if\" speed \n" ); document.write( "travel time=distance/speed \n" ); document.write( " \n" ); document.write( "LCD:x(x+5) \n" ); document.write( "200(x+5)-200x=2x^2+10x \n" ); document.write( "200x+1000-200x=2x^2+10x \n" ); document.write( "2x^2+10x-1000=0 \n" ); document.write( "x^2+5x-500=0 \n" ); document.write( "(x-20)(x+25)=0 \n" ); document.write( "x=-25 (reject, x>0) \n" ); document.write( "or \n" ); document.write( "x=20 \n" ); document.write( "original speed= 20 mph\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |