document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195979>Question 1195979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John starts driving at a constant rate of 55 mph. Two hours later Lauren starts driving at a constant rate of 62 mph. At what time and how many miles will they meet? Create a system of equations and use the equal value theorem to solve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828628 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=828628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = number of hours that John is driving<BR>\n" );
document.write( "x-2 = number of hours that Lauren is driving<BR>\n" );
document.write( "John has a 2 hour head start, so Lauren drives 2 fewer hours.\r<BR>\n" );
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document.write( "John drives a distance of <BR>\n" );
document.write( "distance = rate*time<BR>\n" );
document.write( "d = r*t<BR>\n" );
document.write( "d = 55*x\r<BR>\n" );
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document.write( "Lauren drives a distance of<BR>\n" );
document.write( "d = r*t<BR>\n" );
document.write( "d = 62*(x-2)<BR>\n" );
document.write( "d = 62x-124\r<BR>\n" );
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document.write( "If we want the two drivers to meet up, then they must travel the same distance.<BR>\n" );
document.write( "This assumes they started at the same point.<BR>\n" );
document.write( "Equate the right hand sides and solve.<BR>\n" );
document.write( "55x = 62x - 124<BR>\n" );
document.write( "55x-62x = -124<BR>\n" );
document.write( "-7x = -124<BR>\n" );
document.write( "x = -124/(-7)<BR>\n" );
document.write( "x = 17.7143 approximately\r<BR>\n" );
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document.write( "It takes about 17.7143 hours for the two drivers to meet.\r<BR>\n" );
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document.write( "Let's compute the distance traveled for each driver.<ul><li>John = 55x = 55*17.7143 = 974.2865 miles</li><li>Lauren = 62(x-2) = 62*(17.7143-2) = 974.2866 miles</li></ul>The results are approximate. We get a slight discrepancy due to the approximate nature of the decimal values. However, the distances are close enough. Round the decimal values however your teacher instructs.<BR>\n" );
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