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 #641836 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=641836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please explain how to set up this problem as an algebraic equation. <BR>\n" );
document.write( "\"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.\" <BR>\n" );
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document.write( "Faster car DATA:<BR>\n" );
document.write( "time = 6 hrs ; rate = 2x ; distance = 6(2x) miles<BR>\n" );
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document.write( "Slower car DATA:<BR>\n" );
document.write( "time = 6 hrs ; rate = x ; distance = 6x miles<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "12x - 6x = 204 miles<BR>\n" );
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document.write( "6x = 204<BR>\n" );
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document.write( "x = 38 mph (slower car speed)<BR>\n" );
document.write( "2x = 76 mph (faster car speed)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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