document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296668>Question 296668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a 135-mile bicycle trip, John averaged 5 miles per hour faster for the first 60 miles than he did for the last 75 miles. The entire trip took eight hours. Find his rate for the first 60 miles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213731 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=213731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> D=RT<BR>\n" );
document.write( "T=D/R<BR>\n" );
document.write( "8=60/(R+5)+75/R<BR>\n" );
document.write( "8=[(60R+75(R+5)]/R(R+5)<BR>\n" );
document.write( "8=[60R+75R+375]/R^2+5R<BR>\n" );
document.write( "8(R^2+5R)=135R+375<BR>\n" );
document.write( "8R^2+40R-135R-375=0<BR>\n" );
document.write( "8R^2-95R-375=0<BR>\n" );
document.write( "(x-15)(8x+25)=0<BR>\n" );
document.write( "x-15=0<BR>\n" );
document.write( "x=15 mph is the speed for the 75 mile leg.<BR>\n" );
document.write( "15+5=20mph is the speed for the 60 mile leg.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );