document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166795>Question 166795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two cyclists start from the same point and ride on opposite directions/ One cyclist rides twice as fast as the other. On three hours they are 90 km apart. What is 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 #122901 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=122901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> distance = rate*time<BR>\n" );
document.write( "lets call one cyclist d1=r1(t1)<BR>\n" );
document.write( "and the other cyclist d2=r2(t2)<BR>\n" );
document.write( "t1=t2=3hours<BR>\n" );
document.write( "d2=90-d1<BR>\n" );
document.write( "r1=2(r2)---->r1/2\r<BR>\n" );
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document.write( "so d1=r1(3)<BR>\n" );
document.write( "and 90-d1=r2(3)\r<BR>\n" );
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document.write( "substitute value of d1 into 2nd equation  and remember r2=r1/2\r<BR>\n" );
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document.write( "90-(3(r1))=((r1)/2)(3)---->90-3(r1)=3/2(r1)----->180-6(r1)=3(r1)--->9(r1)=180\r<BR>\n" );
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document.write( "r1=20kmph<BR>\n" );
document.write( "r2=10kmph </SPAN>\n" );
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