document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950471>Question 950471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carolyn left the study group traveling 6 mph. Then, 3 hours later, Alicia left traveling the same direction at 15 mph. How long until Alicia catches up with Carolyn? How many hours? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580434 by </B><A HREF=/tutors/aboutme.mpl?userid=Cody959><B>Cody959(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cody959><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=580434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay in order for us to solve this problem we need to know a fundamental physic's equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%28d%2Ft%29 ALIGN=MIDDLE  ALT=\"s=%28d%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "This is equation:(*1)\r<BR>\n" );
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document.write( "Where:<BR>\n" );
document.write( "s=speed<BR>\n" );
document.write( "d=distance<BR>\n" );
document.write( "t=time\r<BR>\n" );
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document.write( "With this equation and using simple algebraic manipulation we can find the distance that Carolyn has traveled; using her speed and the amount of time that has passed. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=s%2At ALIGN=MIDDLE  ALT=\"d=s%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Knowing how fast Alicia is traveling and how far Carolyn has traveled we can again use simple algebraic manipulation of equation (*1) to find the time Alicia catches Carolyn.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=d%2Fs ALIGN=MIDDLE  ALT=\"t=d%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Fun Fact: Equation (*1) is a fundamental idea in calculus and Newtonian physics. Velocity (speed with direction) is defined as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%28ds%29%2F%28dt%29 ALIGN=MIDDLE  ALT=\"V=%28ds%29%2F%28dt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is known as a differential equation.<BR>\n" );
document.write( "Where ds is defined as the change in position [or displacement]<BR>\n" );
document.write( "And dt is defined as the amount of time that passes.\r<BR>\n" );
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document.write( "Hence you are doing calculus right now! :p<BR>\n" );
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