document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138999>Question 138999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman who lives in the suburbs normally gets to her job downtown by bicycling to the nearest subway stop and then taking the train from there.   When she times it exactly right and doesn’t have to wait for a train, the journey takes her 30 minutes.   One day she has to bicycle the whole way and it takes her 50 minutes.   If her average speed on the bike is 12 mph, and the average speed of the subway is 24 mph, find how far it is from her home to the subway stop?   How far is the subway stop from her job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101452 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=101452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bhs%5D ALIGN=MIDDLE  ALT=\"d%5Bhs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = miles from home to subway<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bsj%5D ALIGN=MIDDLE  ALT=\"d%5Bsj%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = miles from subway to job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bhj%5D ALIGN=MIDDLE  ALT=\"d%5Bhj%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = miles from home to job  <BR>\n" );
document.write( "I'll use the case where she bicycles all the way to work to find<BR>\n" );
document.write( "the distance from her home to her job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bhj%5D+=+%2812%2F60%29%2A50 ALIGN=MIDDLE  ALT=\"d%5Bhj%5D+=+%2812%2F60%29%2A50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bhj%5D+=+10 ALIGN=MIDDLE  ALT=\"d%5Bhj%5D+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bhs%5D+%2B+d%5Bsj%5D+=+10 ALIGN=MIDDLE  ALT=\"d%5Bhs%5D+%2B+d%5Bsj%5D+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bhs%5D+=+%2812%2F60%29%2At%5Bhs%5D ALIGN=MIDDLE  ALT=\"d%5Bhs%5D+=+%2812%2F60%29%2At%5Bhs%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%5Bsj%5D+=+%2824%2F60%29%2At%5Bsj%5D ALIGN=MIDDLE  ALT=\"d%5Bsj%5D+=+%2824%2F60%29%2At%5Bsj%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F60%29%2At%5Bhs%5D+%2B+%2824%2F60%29%2At%5Bsj%5D+=+10 ALIGN=MIDDLE  ALT=\"%2812%2F60%29%2At%5Bhs%5D+%2B+%2824%2F60%29%2At%5Bsj%5D+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bhs%5D+%2B+t%5Bsj%5D+=+30 ALIGN=MIDDLE  ALT=\"t%5Bhs%5D+%2B+t%5Bsj%5D+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bsj%5D+=+30+-+t%5Bhs%5D ALIGN=MIDDLE  ALT=\"t%5Bsj%5D+=+30+-+t%5Bhs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F60%29%2At%5Bhs%5D+%2B+%2824%2F60%29%2A%2830+-+t%5Bhs%5D%29+=+10 ALIGN=MIDDLE  ALT=\"%2812%2F60%29%2At%5Bhs%5D+%2B+%2824%2F60%29%2A%2830+-+t%5Bhs%5D%29+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60 ALIGN=MIDDLE  ALT=\"60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12t%5Bhs%5D+%2B+24%2A30+-+24t%5Bhs%5D+=+600 ALIGN=MIDDLE  ALT=\"12t%5Bhs%5D+%2B+24%2A30+-+24t%5Bhs%5D+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bhs%5D+%2B+60+-+2t%5Bhs%5D+=+50 ALIGN=MIDDLE  ALT=\"t%5Bhs%5D+%2B+60+-+2t%5Bhs%5D+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-t%5Bhs%5D+=+-10 ALIGN=MIDDLE  ALT=\"-t%5Bhs%5D+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bhs%5D+=+10 ALIGN=MIDDLE  ALT=\"t%5Bhs%5D+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bsj%5D+=+30+-+t%5Bhs%5D ALIGN=MIDDLE  ALT=\"t%5Bsj%5D+=+30+-+t%5Bhs%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%5Bsj%5D+=+30+-+10 ALIGN=MIDDLE  ALT=\"t%5Bsj%5D+=+30+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bsj%5D+=+20 ALIGN=MIDDLE  ALT=\"t%5Bsj%5D+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bhs%5D+=+%2812%2F60%29%2At%5Bhs%5D ALIGN=MIDDLE  ALT=\"d%5Bhs%5D+=+%2812%2F60%29%2At%5Bhs%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%5Bhs%5D+=+%2812%2F60%29%2A10 ALIGN=MIDDLE  ALT=\"d%5Bhs%5D+=+%2812%2F60%29%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bhs%5D+=+2 ALIGN=MIDDLE  ALT=\"d%5Bhs%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bsj%5D+=+%2824%2F60%29%2At%5Bsj%5D ALIGN=MIDDLE  ALT=\"d%5Bsj%5D+=+%2824%2F60%29%2At%5Bsj%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%5Bsj%5D+=+%2824%2F60%29%2A20 ALIGN=MIDDLE  ALT=\"d%5Bsj%5D+=+%2824%2F60%29%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bsj%5D+=+8 ALIGN=MIDDLE  ALT=\"d%5Bsj%5D+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "It is 2 mi from her home to the subway stop. <BR>\n" );
document.write( "It is 8 mi from the subway stop from her job. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );