document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149371>Question 149371</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780618803682/algebrahomeworkh>Intermediate Algebra with Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A cyclist rode 40 mi. before having a flat tire and then walking 5 mi to a service station. The cycling rate was four times the walking rate. The time spent cycling and walking was 5 h. Find the rate at which the cyclist was riding. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109599 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=109599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cyclist rode 40 mi. before having a flat tire and then walking 5 mi to a service station. The cycling rate was four times the walking rate. The time spent cycling and walking was 5 h. Find the rate at which the cyclist was riding.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "total miles=45 miles<BR>\n" );
document.write( "total time=5 hrs\r<BR>\n" );
document.write( "\n" );
document.write( "walking speed=x mph<BR>\n" );
document.write( "cycling speed=4x mph\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "40/4x+5/x=5-----------------------because miles over mph gives you hours\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Common denominator=4x<BR>\n" );
document.write( "40/4x+20/4x=5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Add the numerators<BR>\n" );
document.write( "60/4x=5\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply both sides by 4x<BR>\n" );
document.write( "60=20x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Divide by 20<BR>\n" );
document.write( "3=x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "walking speed=4 mph<BR>\n" );
document.write( "cycling speed=12 mph </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );