document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=259065>Question 259065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jodie bicycles 5km/h faster than Carlos.  In the same time it takes Carlos to bicycle 30km, Jodie can bicycle 45km. How fast does each bicyclist travel?<BR>\n" );
document.write( "Help, how do I solve this kind of problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #190755 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=190755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This kind of problem can only be solved by prayer and fasting!<BR>\n" );
document.write( "You first have to remember the travel formula.<BR>\n" );
document.write( "rt=d<BR>\n" );
document.write( "rate(speed)*time=distance<BR>\n" );
document.write( "First we learn that Jodie (j) is faster than Carlos(c)<BR>\n" );
document.write( "j=5+c<BR>\n" );
document.write( "Then we learn that carols goes 30 km<BR>\n" );
document.write( "c*t=30<BR>\n" );
document.write( "And that jodie goes 45 km<BR>\n" );
document.write( "j*t=45<BR>\n" );
document.write( "in the same time.\r<BR>\n" );
document.write( "\n" );
document.write( "Before we set up the final equation , what do we want to know?<BR>\n" );
document.write( "Not the time!<BR>\n" );
document.write( "But their speeds.<BR>\n" );
document.write( "c*t=30<BR>\n" );
document.write( "j*t=45<BR>\n" );
document.write( "Solve each for t (but didn't I just say we don't want the time.) Be patient there is a method to my madness.<BR>\n" );
document.write( "t=30/c<BR>\n" );
document.write( "t=45/j<BR>\n" );
document.write( "Now we set them equal to each other and t is gone!<BR>\n" );
document.write( "30/c=45/j<BR>\n" );
document.write( "So now we have one equation with two variables. how is that any better ?<BR>\n" );
document.write( "But we have one final trick. did you forget the very first equation?<BR>\n" );
document.write( "j=c+5<BR>\n" );
document.write( "30/c=45/j<BR>\n" );
document.write( "Plug that in for j<BR>\n" );
document.write( "30/c=45/(c+5)<BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "30(c+5)=45c<BR>\n" );
document.write( "30c+150=45c<BR>\n" );
document.write( "Subtract 30c<BR>\n" );
document.write( "150=15c<BR>\n" );
document.write( "10=c<BR>\n" );
document.write( "j=c+5<BR>\n" );
document.write( "j=10+5=15<BR>\n" );
document.write( "c=10 kph<BR>\n" );
document.write( "j=15 kph<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );