document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204447>Question 1204447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two bicyclists are 25 mi apart and are traveling toward each other. One cyclist is traveling at 2/3 the rate of the other cyclist. The cyclists pass each other in 2 h. Find the rate of each cyclist. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840715 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The solutions in the three responses you have found are very similar, essentially using x and (2/3)x for the speeds of the two cyclists.<br><BR>\n" );
document.write( "Here is a different approach.<br><BR>\n" );
document.write( "The rates of the two cyclists are in the ratio 2:3, so the distances traveled by the two cyclists are in the ratio 2:3.  Using a standard method for setting up the problem for solving using that ratio....<br><BR>\n" );
document.write( "Let 2x = distance traveled by the slower cyclist<BR>\n" );
document.write( "Let 3x = distance traveled by the faster cyclist<br><BR>\n" );
document.write( "The total distance was 25 miles:<BR>\n" );
document.write( "2x+3x=25<BR>\n" );
document.write( "5x=25<BR>\n" );
document.write( "x=5<br><BR>\n" );
document.write( "The distances traveled by the two cyclists were 2x=10 and 3x=15 miles.<br><BR>\n" );
document.write( "Since the two cyclists met after 2 hours, their speeds were 10/2 = 5mph and 15/2 = 7.5mph<br><BR>\n" );
document.write( "ANSWER: 5mph and 7.5mph<br><BR>\n" );
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