document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026577>Question 1026577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain how to set up this problem as an algebraic equation. \"Two cars started to move at the same time in the same direction, but one was moving twice as fast as the other. Six hours later, the cars were 204 miles apart. Find the speed of each car.\" \r<BR>\n" );
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document.write( "I'm not sure the \"how\" or \"why\" of the set up. Thank you for your help. \r<BR>\n" );
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document.write( "Ian  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641835 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the slower car in mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s+ ALIGN=MIDDLE  ALT=\"+2s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the faster car in mi/hr<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = distance in miles the slower car travels in 6 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+204+%2B+d+ ALIGN=MIDDLE  ALT=\"+204+%2B+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = distance in miles the faster car travels in 6 hrs<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Equation for slower car:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+s%2A6+ ALIGN=MIDDLE  ALT=\"+d+=+s%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for faster car:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+204+%2B+d+=+2s%2A6+ ALIGN=MIDDLE  ALT=\"+204+%2B+d+=+2s%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+204+%2B+6s+=+2s%2A6+ ALIGN=MIDDLE  ALT=\"+204+%2B+6s+=+2s%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+204+%2B+6s+=+12s+ ALIGN=MIDDLE  ALT=\"+204+%2B+6s+=+12s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6s+=+204+ ALIGN=MIDDLE  ALT=\"+6s+=+204+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+34+ ALIGN=MIDDLE  ALT=\"+s+=+34+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s+=+68+ ALIGN=MIDDLE  ALT=\"+2s+=+68+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slower car moves at 34 mi/hr<BR>\n" );
document.write( "The faster car moves at 68 mi/hr<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+s%2A6+ ALIGN=MIDDLE  ALT=\"+d+=+s%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+34%2A6+ ALIGN=MIDDLE  ALT=\"+d+=+34%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+204+ ALIGN=MIDDLE  ALT=\"+d+=+204+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+204+%2B+d+=+2s%2A6+ ALIGN=MIDDLE  ALT=\"+204+%2B+d+=+2s%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+204+%2B+d+=+12%2A34+ ALIGN=MIDDLE  ALT=\"+204+%2B+d+=+12%2A34+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+204+%2B+d+=+408+ ALIGN=MIDDLE  ALT=\"+204+%2B+d+=+408+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+408+-+204+ ALIGN=MIDDLE  ALT=\"+d+=+408+-+204+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+204+ ALIGN=MIDDLE  ALT=\"+d+=+204+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
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