document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313161>Question 313161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One car travels 8mph faster than another. While the slower one goes 14mi, the other goes 17.2mi. Find the speed of each car. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223909 by </B><A HREF=/tutors/aboutme.mpl?userid=OmniMaestra><B>OmniMaestra(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=OmniMaestra><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=OmniMaestra><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rate X time = distance\r<BR>\n" );
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document.write( "rt=d\r<BR>\n" );
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document.write( "Start by noticing which of the three elements are the same. In this problem the two cars are going different speeds and travelling different distances but they are both travelling for the same amount of time. So rearrange the formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt+=+d ALIGN=MIDDLE  ALT=\"rt+=+d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by r: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28rt%29%2Fr+=+d%2Fr ALIGN=MIDDLE  ALT=\"%28rt%29%2Fr+=+d%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "the new formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+d%2Fr ALIGN=MIDDLE  ALT=\"t+=+d%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now lets work the problem:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28distance+of+first+car%29%2F%28rate+of+first+car%29+=+%28distance+of+second+car%29%2F%28rate+of+second+car%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2Fx+=+17.2%2F%28x%2B8%29 ALIGN=MIDDLE  ALT=\"14%2Fx+=+17.2%2F%28x%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now cross multiply: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%28x%2B8%29=17.2x ALIGN=MIDDLE  ALT=\"14%28x%2B8%29=17.2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Distribute: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x+%2B+112+=+17.2x ALIGN=MIDDLE  ALT=\"14x+%2B+112+=+17.2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 14x from both sides: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112+=+17.2x-14x ALIGN=MIDDLE  ALT=\"112+=+17.2x-14x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112+=+3.2x ALIGN=MIDDLE  ALT=\"112+=+3.2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divide by 3.2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112%2F3.2+=3.2x%2F3.2 ALIGN=MIDDLE  ALT=\"112%2F3.2+=3.2x%2F3.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35+=+x ALIGN=MIDDLE  ALT=\"35+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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