document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959278>Question 959278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car traveling on an interstate highway leaves a rest stop at 3 p.m., traveling at 75 km/h.  Another car leaves the same rest stop 12 min later, headed in the same direction.  If the second car travels at 195 km/h, how long will it be before it overtakes the first car? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586371 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=586371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 1st car has a head start of:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+75%2A%2812%2F60%29+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+75%2A%2812%2F60%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+75%2F5+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+75%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+15+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance in km the 2nd car <BR>\n" );
document.write( "travels until it catches the 1st car<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time in hrs it takes the<BR>\n" );
document.write( "2nd car to catch the 1st car<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Start a stop watch when the 2nd car leaves<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Equation for 1st car:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+15+=+75t+ ALIGN=MIDDLE  ALT=\"+d+-+15+=+75t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for 2nd car:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+195t+ ALIGN=MIDDLE  ALT=\"+d+=+195t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+195t+-+15+=+75t+ ALIGN=MIDDLE  ALT=\"+195t+-+15+=+75t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+120t+=+15+ ALIGN=MIDDLE  ALT=\"+120t+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+t+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F8%29%2A60+=+7.5+ ALIGN=MIDDLE  ALT=\"+%281%2F8%29%2A60+=+7.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "The 2nd car catches the 1st car in 7.5 min<BR>\n" );
document.write( "The time would be 3 PM + 12 min + 7.5 min<BR>\n" );
document.write( "or 3:19:30 PM<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+15+=+75t+ ALIGN=MIDDLE  ALT=\"+d+-+15+=+75t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+15+=+75%2A%281%2F8%29+ ALIGN=MIDDLE  ALT=\"+d+-+15+=+75%2A%281%2F8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+9.375+%2B+15+ ALIGN=MIDDLE  ALT=\"+d+=+9.375+%2B+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+24.375+ ALIGN=MIDDLE  ALT=\"+d+=+24.375+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+195t+ ALIGN=MIDDLE  ALT=\"+d+=+195t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+195%2A%281%2F8%29+ ALIGN=MIDDLE  ALT=\"+d+=+195%2A%281%2F8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+24.375+ ALIGN=MIDDLE  ALT=\"+d+=+24.375+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );