document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=787784>Question 787784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> john and lisa live 600 miles apart . on a certain day, they leave their homes at the same time and drive towards each other. John drove 10 mph faster than Lisa. If they meet 5 hours after they started out, how fast did each one travel? How far did each of them travel?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478323 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=478323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> represent Lisa's rate and then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\ +\ 10\"> must represent John's rate.\r<BR>\n" );
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document.write( "Then there are two ways to look at this.  If it took 5 hours for both of them to cover <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 600\"> miles, then the sum of their speeds must have been <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 600\ \div\ 5\ =\ 120\ \text{mph}\">.  So then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\ +\ (r\ +\ 10)\ =\ 120\">.  Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\">\r<BR>\n" );
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document.write( "Or you can say that the sum of their speeds is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\ +\ r\ +\ 10\ =\ 2r\ +\ 10\"> and then that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{600}{2r\,+\,10}\ = 5\">.  Again, solve for r.\r<BR>\n" );
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document.write( "You can check your work by doing it both ways.  If you get two different answers, you have at least one arithmetic mistake.\r<BR>\n" );
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document.write( "For the second part of the question, Lisa traveled <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5r\"> miles and John traveled <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5(r\,+\,10)\"> miles, which is to say 50 miles farther than Lisa.\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" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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