document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187050>Question 1187050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car traveling at 45 mph overtakes a cyclist who, riding at 20 mph, had a 2-hour head start. How far from the starting point does the car overtake the cyclist?<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 #818008 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=818008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The cyclist, traveling at 20mph for 2 hours before the car starts, has a head start of 40 miles.<br><BR>\n" );
document.write( "Once the car starts, the difference between the speeds of the car and the cyclist is 45-20 = 25mph.<br><BR>\n" );
document.write( "The number of hours the car will take to overtake the cyclist is equal to the DIFFERENCE in the distances divided by the DIFFERENCE in the speeds:<br><BR>\n" );
document.write( "40/25 = 8/5 = 1.6<br><BR>\n" );
document.write( "The car traveling 8/5 hours at 45mph will travel (8/5)(45)=(8)(9)=72 miles<br><BR>\n" );
document.write( "ANSWER: The care will overtake the cyclist 72 miles from the starting point.<br><BR>\n" );
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