document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106772>Question 1106772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a Grand Prix automobile race with five different race cars, Rapid Ravi averaged 90 mi/hr for the first half of the course and 110 mi/hr for the second half of the course. Steady Spencer maintained a constant speed of 100 mi/hr throughout the race. They were the only two cars to complete the race. Who won the race? How much did the winner win by?<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 #721773 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=721773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  In a Grand Prix automobile race with five different race cars,<BR>\n" );
document.write( " Rapid Ravi averaged 90 mi/hr for the first half of the course and 110 mi/hr for the second half of the course.<BR>\n" );
document.write( " Steady Spencer maintained a constant speed of 100 mi/hr throughout the race.<BR>\n" );
document.write( " They were the only two cars to complete the race.<BR>\n" );
document.write( " Who won the race? How much did the winner win by?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let d = the distance of half the race<BR>\n" );
document.write( "Find the total time of R, (time = dist/speed)<BR>\n" );
document.write( "{{d/90}}} + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F110 ALIGN=MIDDLE  ALT=\"d%2F110\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Common denominator is 990<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811d+%2B+9d%29%2F990 ALIGN=MIDDLE  ALT=\"%2811d+%2B+9d%29%2F990\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820d%29%2F990 ALIGN=MIDDLE  ALT=\"%2820d%29%2F990\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplifies to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F99 ALIGN=MIDDLE  ALT=\"%282d%29%2F99\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time of R<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the time of S<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F100 ALIGN=MIDDLE  ALT=\"%282d%29%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > is S's time and so he wins the race.<BR>\n" );
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document.write( "\"How much did the winner win by?:<BR>\n" );
document.write( "they don't give the length of the race track, no. of laps, etc<BR>\n" );
document.write( "Assuming they use the 2 hr rule<BR>\n" );
document.write( "S travels 2 * 100 = 200 mi<BR>\n" );
document.write( "R travels 2 * 99  = 198 mi<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "winner wins by: 2 mi <BR>\n" );
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