document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209589>Question 209589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jenna and Caleb are having a go-kart race. Jenna's go kart is traveling 10 mph while Caleb's is only going 8 mph. If Caleb gets a 1/10 mile head start, how many minutes will it take Jenna to catch him?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158467 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each person has their own equation<BR>\n" );
document.write( "For Jenna:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bj%5D+=+r%5Bj%5D%2At%5Bj%5D ALIGN=MIDDLE  ALT=\"d%5Bj%5D+=+r%5Bj%5D%2At%5Bj%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For Caleb:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bj%5D+=+10 ALIGN=MIDDLE  ALT=\"r%5Bj%5D+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D+=+8 ALIGN=MIDDLE  ALT=\"r%5Bc%5D+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bj%5D+=+t%5Bc%5D ALIGN=MIDDLE  ALT=\"t%5Bj%5D+=+t%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr (I'll call them both <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bj%5D+=+d%5Bc%5D+%2B+.1 ALIGN=MIDDLE  ALT=\"d%5Bj%5D+=+d%5Bc%5D+%2B+.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice that they both start at the same time<BR>\n" );
document.write( "and they finish at the same time.<BR>\n" );
document.write( "And also, Jenna has to go 1/10 mi further<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Now I can rewrite their equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bj%5D+=+r%5Bj%5D%2At%5Bj%5D ALIGN=MIDDLE  ALT=\"d%5Bj%5D+=+r%5Bj%5D%2At%5Bj%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+%2B+.1+=+10t ALIGN=MIDDLE  ALT=\"d%5Bc%5D+%2B+.1+=+10t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+8t ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+8t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By substitution,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8t+%2B+.1+=+10t ALIGN=MIDDLE  ALT=\"8t+%2B+.1+=+10t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t+=+.1 ALIGN=MIDDLE  ALT=\"2t+=+.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+.05 ALIGN=MIDDLE  ALT=\"t+=+.05\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "Converting to minutes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05%2A60+=+3 ALIGN=MIDDLE  ALT=\".05%2A60+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "It will take Jenna 3 minutes to catch him<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+%2B+.1+=+10t ALIGN=MIDDLE  ALT=\"d%5Bc%5D+%2B+.1+=+10t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+10%2A.05+-+.1 ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+10%2A.05+-+.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+.5+-+.1 ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+.5+-+.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+.4 ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bj%5D+=+10t ALIGN=MIDDLE  ALT=\"d%5Bj%5D+=+10t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bj%5D+=+10%2A.05 ALIGN=MIDDLE  ALT=\"d%5Bj%5D+=+10%2A.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bj%5D+=+.5 ALIGN=MIDDLE  ALT=\"d%5Bj%5D+=+.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "This shows Caleb has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5+-+.4+=+.1 ALIGN=MIDDLE  ALT=\".5+-+.4+=+.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > headstart<BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );