document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73862>Question 73862</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 2002, Martin Buser, from Big Lake, Alaska, won the Iditarod in a time of 8 days , 22 hours, 46 minutes, and 2 seconds setting a new record.  In 2006, Jeff King, from Denali, Alaska, won the Iditarod in a time of 9 days, 11 hours, 11 minutes, and 36 seconds.  Assumethe length of the race is 1112 miles.  What is the positive difference between their mean speeds in miles per hour?  Express your answer as a decimal to the nearest hundreth.  How do I solve this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52837 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=52837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Convert 8 days , 22 hours, 46 minutes, and 2 seconds to seconds. This looks like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A24%2A60%2A60%2B22%2A60%2A60%2B46%2A60%2B2=773%2C162%0D%0A ALIGN=MIDDLE  ALT=\"8%2A24%2A60%2A60%2B22%2A60%2A60%2B46%2A60%2B2=773%2C162%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" > So 8 days , 22 hours, 46 minutes, and 2 seconds is equal to 773,162 seconds. Do the same thing to the other racer. Convert 9 days, 11 hours, 11 minutes, and 36 seconds.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A24%2A60%2A60%2B11%2A60%2A60%2B11%2A60%2B36=817%2C896%0D%0A ALIGN=MIDDLE  ALT=\"9%2A24%2A60%2A60%2B11%2A60%2A60%2B11%2A60%2B36=817%2C896%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >So the other racer did the race in 817,896 seconds. Plug these 2 times into the equation <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=rt ALIGN=MIDDLE  ALT=\"d=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" > where d=1112<BR>\n" );
document.write( "Racer 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1112=r%28773162%29 ALIGN=MIDDLE  ALT=\"1112=r%28773162%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1112%2F773162=r ALIGN=MIDDLE  ALT=\"1112%2F773162=r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=0.00144 ALIGN=MIDDLE  ALT=\"r=0.00144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the first racer's average speed was 0.00144 mi/sec which converts to 5.04 mi/hr<BR>\n" );
document.write( "Racer 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1112=r%28817896%29 ALIGN=MIDDLE  ALT=\"1112=r%28817896%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1112%2F817896=r ALIGN=MIDDLE  ALT=\"1112%2F817896=r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=0.00136 ALIGN=MIDDLE  ALT=\"r=0.00136\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the second racer's average speed was 0.00136 mi/sec which converts to 4.896 mi/hr.<BR>\n" );
document.write( "Now we must find the positive difference between the two speeds<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%285.04-4.896%29=0.144 ALIGN=MIDDLE  ALT=\"abs%285.04-4.896%29=0.144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the positive difference in speed is 0.144 mi/hr. Of course all of these figures are approximate values.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );