document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962804>Question 962804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose Josh runs from Point A to Point B at a rate of 12 mph and walks back from Point B to Point A at a rate of 4 mph. If the total time it takes Josh to run and walk is 80 minutes, how long does it take Josh to walk back from Point B to Point A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #588261 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=588261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Running from A to B:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+r%2At%5B1%5D+ ALIGN=MIDDLE  ALT=\"+d+=+r%2At%5B1%5D+\"   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+=+12t%5B1%5D+ ALIGN=MIDDLE  ALT=\"+d+=+12t%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Walking from B to A:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+4t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+d+=+4t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+%2B+t%5B2%5D+=+80%2F60+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+%2B+t%5B2%5D+=+80%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+%2B+t%5B2%5D+=+4%2F3+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+%2B+t%5B2%5D+=+4%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "( note that I converted minutes to hrs )<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Set (1) and (2) equal to each other<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12t%5B1%5D+=+4t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+12t%5B1%5D+=+4t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+3t%5B1%5D+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+3t%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into (3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+%2B+3t%5B1%5D+=+4%2F3+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+%2B+3t%5B1%5D+=+4%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4t%5B1%5D+=+4%2F3+ ALIGN=MIDDLE  ALT=\"+4t%5B1%5D+=+4%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+=+1%2F3+\"   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=+t%5B2%5D+=+3t%5B1%5D+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+3t%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+3%2A%281%2F3%29+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+3%2A%281%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+1+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Walking back from B to A takes<BR>\n" );
document.write( "him 1 hr<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+12t%5B1%5D+ ALIGN=MIDDLE  ALT=\"+d+=+12t%5B1%5D+\"   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+=+12%2A%281%2F3%29+ ALIGN=MIDDLE  ALT=\"+d+=+12%2A%281%2F3%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+=+4+ ALIGN=MIDDLE  ALT=\"+d+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+4t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+d+=+4t%5B2%5D+\"   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+=+4%2A1+ ALIGN=MIDDLE  ALT=\"+d+=+4%2A1+\"   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+=+4+ ALIGN=MIDDLE  ALT=\"+d+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );