document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018185>Question 1018185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars are traveling on two different routes, one 43 miles longer than the other. The car traveling on the longer route travels 2 miles per hour slower than the other car and it takes it 6 hours for the trip. If the car with the shorter route takes 5 hours for its trip, find the length of each route. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634347 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=634347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the car taking <BR>\n" );
document.write( "the shorter route in mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+-+2+ ALIGN=MIDDLE  ALT=\"+s+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the cat taking the <BR>\n" );
document.write( "longer route in mi/hr<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 of the shorter route in miles<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+%2B+43+ ALIGN=MIDDLE  ALT=\"+d+%2B+43+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance of the longer route in miles<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "Equation for car taking the shorter route:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+s%2A5+ ALIGN=MIDDLE  ALT=\"+d+=+s%2A5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "euation for the car taking the longer route:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+%2B+43+=+%28+s-2+%29%2A6+ ALIGN=MIDDLE  ALT=\"+d+%2B+43+=+%28+s-2+%29%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2A5+%2B+43+=+%28+s-2+%29%2A6+ ALIGN=MIDDLE  ALT=\"+s%2A5+%2B+43+=+%28+s-2+%29%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5s+%2B+43+=+6s+-+12+ ALIGN=MIDDLE  ALT=\"+5s+%2B+43+=+6s+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+55+ ALIGN=MIDDLE  ALT=\"+s+=+55+\"   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=+s+-+2+=+53+ ALIGN=MIDDLE  ALT=\"+s+-+2+=+53+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+s%2A5+ ALIGN=MIDDLE  ALT=\"+d+=+s%2A5+\"   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+=+55%2A5+ ALIGN=MIDDLE  ALT=\"+d+=+55%2A5+\"   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+=+275+ ALIGN=MIDDLE  ALT=\"+d+=+275+\"   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+%2B+43+=+%28+s-2+%29%2A6+ ALIGN=MIDDLE  ALT=\"+d+%2B+43+=+%28+s-2+%29%2A6+\"   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+%2B+43+=+%2855-2+%29%2A6+ ALIGN=MIDDLE  ALT=\"+d+%2B+43+=+%2855-2+%29%2A6+\"   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+%2B+43+=+53%2A6+ ALIGN=MIDDLE  ALT=\"+d+%2B+43+=+53%2A6+\"   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+%2B+43+=+318+ ALIGN=MIDDLE  ALT=\"+d+%2B+43+=+318+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The shorter route is 275 mi<BR>\n" );
document.write( "The longer route is 318 mi<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+%2B+43+=+318+ ALIGN=MIDDLE  ALT=\"+d+%2B+43+=+318+\"   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+=+275+ ALIGN=MIDDLE  ALT=\"+d+=+275+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );