document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=803121>Question 803121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cyclist has to make a 30km trip. She leaves 3 minutes late, but travels 1km/hr faster than she planned, and finally arrives on time.  At what speed did the cyclist travel?\r<BR>\n" );
document.write( "\n" );
document.write( "I am trying to solve it as follow:\r<BR>\n" );
document.write( "\n" );
document.write( "30 km = rt\r<BR>\n" );
document.write( "\n" );
document.write( "30 km = (r+1)(t-3)\r<BR>\n" );
document.write( "\n" );
document.write( "Does it make sense?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484162 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=484162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance = 30 km\r<BR>\n" );
document.write( "\n" );
document.write( "let the speed she has to travel be x to reach on time\r<BR>\n" );
document.write( "\n" );
document.write( "she travels 1km faster => x+1 km/h\r<BR>\n" );
document.write( "\n" );
document.write( "The time difference with both speeds = 3 minutes = 3/60 = 1/20 hours\r<BR>\n" );
document.write( "\n" );
document.write( "30/x -30/(x+1) = 1/20\r<BR>\n" );
document.write( "\n" );
document.write( "30(x+1)-30x= x(x+1)/20\r<BR>\n" );
document.write( "\n" );
document.write( "30x+30-30x=(x^2+x)/20\r<BR>\n" );
document.write( "\n" );
document.write( "30=(x^2+x)/20\r<BR>\n" );
document.write( "\n" );
document.write( "30*20 = x^2+x\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+x-600=0\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+25x-24x-600=0\r<BR>\n" );
document.write( "\n" );
document.write( "x(x+25)-24(x+25)=0\r<BR>\n" );
document.write( "\n" );
document.write( "(x+25)(x-24)=0\r<BR>\n" );
document.write( "\n" );
document.write( "x=-25 OR 24\r<BR>\n" );
document.write( "\n" );
document.write( "ignore negative\r<BR>\n" );
document.write( "\n" );
document.write( "speed = 24 km/h\r<BR>\n" );
document.write( "\n" );
document.write( "increased speed = 24 +1 = 25 km/h </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );