document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184018>Question 1184018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Susan and Jenny run a 200 m race which Susan wins by 10 m. Jenny suggests that they run<BR>\n" );
document.write( "another race, with Susan starting 10 m behind the starting line. Assuming they run at the same<BR>\n" );
document.write( "speeds as in the first race, what is the outcome of the race? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814574 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=814574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a very different approach to answering the question -- WITHOUT using distance = rate * time.<br><BR>\n" );
document.write( "In the 200m race, Jenny completes 190m while Susan completes 200m.  That means Jenny's speed is 19/20 of Susan's speed.<br><BR>\n" );
document.write( "So Jenny and Susan will finish a race together if the distance Susan has to run is 20/19 of the distance Jenny has to run.<br><BR>\n" );
document.write( "But in the second race, the distance Susan has to run is 210/200 = 21/20 of the distance Jenny has to run.  And 21/20 (= 1 1/20) is less than 20/19 (= 1 1/19) -- so Susan will win this race also.<br><BR>\n" );
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