document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177642>Question 1177642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Linda, Rumi, Liz, Amy, Adam, and Sam ran an 800-meter race. Adam BEAT Liz by 7 meters. Sam beat Linda by 12 meters. Adam finished 5 meters AHEAD of Amy but 3 meters BEHIND Sam. Rumi finished HALFWAY between the first and last woman. In what order did the women finish? What were the distances between them? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850411 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1987)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's break down the race results step-by-step.\r<BR>\n" );
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document.write( "**1. Adam, Liz, and Amy**\r<BR>\n" );
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document.write( "* Adam beat Liz by 7 meters. This means when Adam finished, Liz had 793 meters left.<BR>\n" );
document.write( "* Adam finished 5 meters ahead of Amy. This means when Adam finished, Amy had 795 meters left.<BR>\n" );
document.write( "* Therefore, Adam finished first among these three.\r<BR>\n" );
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document.write( "**2. Sam and Adam**\r<BR>\n" );
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document.write( "* Adam finished 3 meters behind Sam. This means when Sam finished, Adam had 797 meters left.<BR>\n" );
document.write( "* So Sam finished first overall.\r<BR>\n" );
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document.write( "**3. Sam and Linda**\r<BR>\n" );
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document.write( "* Sam beat Linda by 12 meters. This means when Sam finished, Linda had 788 meters left.\r<BR>\n" );
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document.write( "**4. Order of Finish (Overall)**\r<BR>\n" );
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document.write( "* Sam<BR>\n" );
document.write( "* Adam<BR>\n" );
document.write( "* Amy<BR>\n" );
document.write( "* Liz<BR>\n" );
document.write( "* Linda\r<BR>\n" );
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document.write( "**5. Distances at Finish**\r<BR>\n" );
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document.write( "* **Sam:** 800 meters<BR>\n" );
document.write( "* **Adam:** 797 meters (3 meters behind Sam)<BR>\n" );
document.write( "* **Amy:** 795 meters (5 meters behind Adam, 5 meters from finish)<BR>\n" );
document.write( "* **Liz:** 793 meters (7 meters behind Adam, 7 meters from finish)<BR>\n" );
document.write( "* **Linda:** 788 meters (12 meters behind Sam, 12 meters from finish)\r<BR>\n" );
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document.write( "**6. Rumi's Position**\r<BR>\n" );
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document.write( "* The first woman was Amy.<BR>\n" );
document.write( "* The last woman was Linda.<BR>\n" );
document.write( "* Amy finished at 795 meters.<BR>\n" );
document.write( "* Linda finished at 788 meters.<BR>\n" );
document.write( "* Rumi finished halfway between them: (795 + 788) / 2 = 1583 / 2 = 791.5 meters.\r<BR>\n" );
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document.write( "**7. Women's Order and Distances**\r<BR>\n" );
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document.write( "* **Amy:** 795 meters<BR>\n" );
document.write( "* **Rumi:** 791.5 meters<BR>\n" );
document.write( "* **Liz:** 793 meters<BR>\n" );
document.write( "* **Linda:** 788 meters\r<BR>\n" );
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document.write( "**8. Correcting Women's Order**\r<BR>\n" );
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document.write( "* The women must be ordered according to who finished first.<BR>\n" );
document.write( "* Amy finished at 795 meters.<BR>\n" );
document.write( "* Liz finished at 793 meters.<BR>\n" );
document.write( "* Rumi finished at 791.5 meters.<BR>\n" );
document.write( "* Linda finished at 788 meters.\r<BR>\n" );
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document.write( "**Final Women's Order and Distances**\r<BR>\n" );
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document.write( "* **Amy:** 795 meters (5 meters from finish)<BR>\n" );
document.write( "* **Liz:** 793 meters (7 meters from finish)<BR>\n" );
document.write( "* **Rumi:** 791.5 meters (8.5 meters from finish)<BR>\n" );
document.write( "* **Linda:** 788 meters (12 meters from finish)\r<BR>\n" );
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document.write( "**Distances Between Women**\r<BR>\n" );
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document.write( "* Amy and Liz: 2 meters<BR>\n" );
document.write( "* Liz and Rumi: 1.5 meters<BR>\n" );
document.write( "* Rumi and Linda: 3.5 meters\r<BR>\n" );
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document.write( "**Final Answer**\r<BR>\n" );
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document.write( "The women finished in the following order:\r<BR>\n" );
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document.write( "* Amy<BR>\n" );
document.write( "* Liz<BR>\n" );
document.write( "* Rumi<BR>\n" );
document.write( "* Linda\r<BR>\n" );
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document.write( "The distances between them at the finish were:\r<BR>\n" );
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document.write( "* Amy and Liz: 2 meters<BR>\n" );
document.write( "* Liz and Rumi: 1.5 meters<BR>\n" );
document.write( "* Rumi and Linda: 3.5 meters<BR>\n" );
document.write( " </SPAN>\n" );
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