document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69992>Question 69992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. Thank you in advance for the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49844 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=49844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "1st trip DATA:<BR>\n" );
document.write( "distance = 600 miles ; rate= x mph ; time= d/r = 600/x hrs.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Imaginary trip DATA:<BR>\n" );
document.write( "distance = 600 miles ; rate = \"x+20\" mph ; time = d/r = 600/(x+20)<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "1st trip time = imaginary trip time + 1 hr.<BR>\n" );
document.write( "600/x = 600/(x+20) + 1<BR>\n" );
document.write( "Multiply thru by x(x+20) <BR>\n" );
document.write( "600(x+20)= 600x +x(x+20)<BR>\n" );
document.write( "12000 = x^2+20x<BR>\n" );
document.write( "x^2+20x-12000=0<BR>\n" );
document.write( "(x+120)(x-100)=0<BR>\n" );
document.write( "x=100 mph (speed of his vehicle)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );