document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309199>Question 309199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lewiston and Vermillionville are 192 miles apart.   A car leaves Lewiston traveling toward Vermillionville.   Another car leaves Vermillionville at same time traveling toward Lewiston.  The car leaving Lewiston averages 10 miles per hour faster that the other, and they meet after 1 hour and 36 minuts.  What are the average speeds of the cars? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221075 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=221075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Since the cars are travelling toward each other, the exact same time would elapse if one of the cars wasn't moving at all and the other car was travelling the sum of the two speeds.\r<BR>\n" );
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document.write( "Distance equals rate times time, so rate is equal to distance divided by time.  6 minutes is 0.1 hour.  So 36 minutes 6 times 6 minutes so it is 6 times 0.1 hour is 0.6 hour.  So 1 hour 36 minutes is 1.6 hours. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{192}{1.6}\ =\ 120\">\r<BR>\n" );
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document.write( "So the sum of the two cars speeds is 120 miles per hour.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the slower car's speed and then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ +\ 10\"> represents the faster car's speed.  And we now know that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ x\ +\ 10\ =\ 120\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2x\ =\ 110\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 55\">\r<BR>\n" );
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document.write( "The slower car goes 55 mph, and the faster one goes 65.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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