document.write( "Question 48347: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. \n" ); document.write( "
Algebra.Com's Answer #31981 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. \n" ); document.write( "let his speed be =x mph \n" ); document.write( "speed at 10 mph faster=x+10 mph \n" ); document.write( "time to go 200 miles \n" ); document.write( "1.at normal speed =200/x \n" ); document.write( "at faster speed =200/(x+10) \n" ); document.write( "difference = 200[(1/x)-1/(x+10)]=200(x+10-x)/x(x+10)=1 \n" ); document.write( "2000=x^2+10x \n" ); document.write( "x^2+10x-2000=0 \n" ); document.write( "(x+50)(x-40)=0 \n" ); document.write( "x=40 mph \n" ); document.write( "x= \n" ); document.write( " |