document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=837670>Question 837670</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man gets 20 minutes late to his office when he travels at a speed of 20 kmph and 25 mins. Early when he travels at a speed of 80 kmph. The distance he travels to reach his office is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #504701 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=504701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> He begins at a time point on a time line. He can go slow and be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B1%2F3 ALIGN=MIDDLE  ALT=\"t%2B1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours or he can go fast and be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-25%2F60=t-5%2F12 ALIGN=MIDDLE  ALT=\"t-25%2F60=t-5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.  The variable, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > is used as a reference to time on a number line.\r<BR>\n" );
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document.write( "______________speed________time(hours)_____distance(km)<BR>\n" );
document.write( "Slow,late_______20________t+1/3_____________d<BR>\n" );
document.write( "Fast,early______80________t-5/12____________d\r<BR>\n" );
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document.write( "The distance is the same value for both speeds used, early or late.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rate%2ATime=Distance ALIGN=MIDDLE  ALT=\"Rate%2ATime=Distance\"   DISABLED_style= \"max-width:90%; height:auto;\" >, basic concept.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2820%28t%2B1%2F3%29=80%28t-5%2F12%29%29 ALIGN=MIDDLE  ALT=\"highlight%2820%28t%2B1%2F3%29=80%28t-5%2F12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If everything makes sense to this extent, then you are ready to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is the value the man expects if to arrive ON-TIME.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20t%2B20%2F3=80t-80%2A5%2F12 ALIGN=MIDDLE  ALT=\"20t%2B20%2F3=80t-80%2A5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F3%2B80%2A5%2F12=60t ALIGN=MIDDLE  ALT=\"20%2F3%2B80%2A5%2F12=60t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F12%2B400%2F12=60t ALIGN=MIDDLE  ALT=\"80%2F12%2B400%2F12=60t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2F12=60t ALIGN=MIDDLE  ALT=\"480%2F12=60t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40=60t ALIGN=MIDDLE  ALT=\"40=60t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=4%2F6 ALIGN=MIDDLE  ALT=\"t=4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=2%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28t=2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour which is 40 minutes.<BR>\n" );
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document.write( "Now, what is the distance?<BR>\n" );
document.write( "Either direction's equation will work.  Trying the slow form,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=20%282%2F3%2B1%2F3%29 ALIGN=MIDDLE  ALT=\"d=20%282%2F3%2B1%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=d=20%2A1 ALIGN=MIDDLE  ALT=\"d=20%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28d=20%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28d=20%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > km </SPAN>\n" );
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