document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149799>Question 149799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I NEED HELP I AM REALLY STUMPED ON THIS SOLUTION!!\r<BR>\n" );
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document.write( "Steve traveled 200 miles at a certain speed. Had he gone 10 mph faster, the trip would have taken one hour less. Find the speed of his vehicle. \r<BR>\n" );
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document.write( "I am having a tough time. Thank you in advance to anyone who can help me. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109908 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = speed of vehicle<BR>\n" );
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document.write( "Time to travel 200 miles is<BR>\n" );
document.write( "200/x<BR>\n" );
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document.write( "Time to travel 200 miles, if he went 10 mph faster:<BR>\n" );
document.write( "200/(x+10)<BR>\n" );
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document.write( "From:\"Had he gone 10 mph faster, the trip would have taken one hour less.\" we get:<BR>\n" );
document.write( "200/x - 1 = 200/(x+10)<BR>\n" );
document.write( "multiplying both sides by (x+10):<BR>\n" );
document.write( "(x+10)(200/x - 1) = 200<BR>\n" );
document.write( "multiplying both sides by x:<BR>\n" );
document.write( "(x+10)(200 - x) = 200x<BR>\n" );
document.write( "200x + 2000 -x^2 - 10x = 200x<BR>\n" );
document.write( "2000 -x^2 - 10x = 0<BR>\n" );
document.write( "x^2 + 10x - 2000 = 0<BR>\n" );
document.write( "factoring:<BR>\n" );
document.write( "(x-40)(x+50) = 0<BR>\n" );
document.write( "x = {-50, 40}<BR>\n" );
document.write( "since a negative doesn't make sense, the only solution is the positive one.<BR>\n" );
document.write( "x = 40 mph<BR>\n" );
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