document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266995>Question 266995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When Caitlin starts running towards Asha, Asha is 100 meters from Caitlin. As Caitlin runs, Asha moves directly away from Caitlin at one-third of Caitlin’s speed. How far has Caitlin run when she first catches up to Asha?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196150 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196150\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When Caitlin starts running towards Asha, Asha is 100 meters from Caitlin.<BR>\n" );
document.write( " As Caitlin runs, Asha moves directly away from Caitlin at one-third of Caitlin’s speed. <BR>\n" );
document.write( "How far has Caitlin run when she first catches up to Asha?<BR>\n" );
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document.write( "Briefly, C has to run 100 m more than A in the same amt of time<BR>\n" );
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document.write( "Let s = A's running speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3s = C's running speed<BR>\n" );
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document.write( "Let d = distance run by A<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(d+100) = distance run by C<BR>\n" );
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document.write( "Write a time equation: Time = dist/speed<BR>\n" );
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document.write( "C's running time = A's running time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d%2B100%29%29%2F%283s%29 ALIGN=MIDDLE  ALT=\"%28%28d%2B100%29%29%2F%283s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fs ALIGN=MIDDLE  ALT=\"d%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "s(d+100) = 3s(d)<BR>\n" );
document.write( "sd + 100s = 3sd<BR>\n" );
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document.write( "Divide thru by s and you have:<BR>\n" );
document.write( "d + 100 = 3d<BR>\n" );
document.write( "100 = 3d - d<BR>\n" );
document.write( "100 = 2d<BR>\n" );
document.write( "d = 50m is the distance run by A<BR>\n" );
document.write( "then<BR>\n" );
document.write( "50 + 100 = 150m is the distance run by C to catch A<BR>\n" );
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document.write( "Check this, assume A's speed is 10 m/sec, C's speed is 30 m/sec<BR>\n" );
document.write( "Check the times of each, they should be equal<BR>\n" );
document.write( "150/30 = 5 min<BR>\n" );
document.write( "50/10 = 5 min  </SPAN>\n" );
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