document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325578>Question 325578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question- Legolas ran twice as fast as Frodo in the Rivendell Marathon. <BR>\n" );
document.write( "          After 3 minutes, Legolas was 1500 feet ahead of Frodo.\r<BR>\n" );
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document.write( "a) If Frodo ran at the rate of x feet per minute, at what rate did Legolas run?\r<BR>\n" );
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document.write( "b) Draw a diagram to represent the problem.\r<BR>\n" );
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document.write( "c) Use the information in your diagram to write the equation.\r<BR>\n" );
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document.write( "d) Solve the equation for x\r<BR>\n" );
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document.write( "e) How far did each one run during the first 3 minutes?\r<BR>\n" );
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document.write( "   Legolas:__________\r<BR>\n" );
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document.write( "   Frodo:_________\r<BR>\n" );
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document.write( "This was a test question sent to me by my daughter's teacher, she didn't do so well. I do not have the math skills to help her with this and would appreciate your assistance so I may be able to assist her. Thank you for your time and patience. This was submitted before but was unable to locate in solved or unsolved problems. BGR  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233111 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=233111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let frodo's rate be x feet / minute<BR>\n" );
document.write( "Legolas ran at twice the speed of Frodo.<BR>\n" );
document.write( "Legolas ran at 2x feet / minute.<BR>\n" );
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document.write( "Distance run = rate * time<BR>\n" );
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document.write( "Frodo's rate = x<BR>\n" );
document.write( "time run = 3 minutes<BR>\n" );
document.write( "so distance run in first 3 minutes = 3*x feet = 3x feet.<BR>\n" );
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document.write( "Legolas's rate = 2x feet/minute<BR>\n" );
document.write( "time run = 3 minutes<BR>\n" );
document.write( "so distance run = 2x*3= 6x feet<BR>\n" );
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document.write( "In the first 3 minutes legolas is 1500 feet ahead.<BR>\n" );
document.write( "Distance run by Legolas  minus distance run by Fred = 1500 <BR>\n" );
document.write( "6x-3x=1500<BR>\n" );
document.write( "3x=1500<BR>\n" );
document.write( "divide by 3<BR>\n" );
document.write( "3x/3 = 1500/3<BR>\n" );
document.write( "x=500 feet/ minute. <BR>\n" );
document.write( "In 3 minutes Frodo ran 500*3 = 1500 feet.<BR>\n" );
document.write( "Legolas ran 6x feet = 6*500= 3000 feet<BR>\n" );
document.write( "Frodo 1500 feet<BR>\n" );
document.write( "Legolas 3000 feet.<BR>\n" );
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document.write( "A|__________________________|B_______________________|C<BR>\n" );
document.write( "            <BR>\n" );
document.write( "AB = 3x run by frodo<BR>\n" );
document.write( "AC = 6x = run by Legolas   <BR>\n" );
document.write( "BC= 1500         <BR>\n" );
document.write( ".. </SPAN>\n" );
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