document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=9734>Question 9734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can anyone help me?\r<BR>\n" );
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document.write( "A walker walks a course at a constant speed of 4 mph. 40 min after the walker begins, a cyclist starts on the same course at a constant speed of 16 mph. how long after the cyclist begins does the cyclist overtake the walker? What distance have they traveled? Has teh walker completed the course before the cyclist catches up? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5257 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=5257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the walker:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1+=+r1%2At1 ALIGN=MIDDLE  ALT=\"d1+=+r1%2At1\"   DISABLED_style= \"max-width:90%; height:auto;\" > r1 = 4 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1+=+4%2At1 ALIGN=MIDDLE  ALT=\"d1+=+4%2At1\"   DISABLED_style= \"max-width:90%; height:auto;\" > t1 = t2 + 2/3 hrs.  (40 mins = 2/3 hrs)\r<BR>\n" );
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document.write( "For the cyclist:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d2+=+r2%2At2 ALIGN=MIDDLE  ALT=\"d2+=+r2%2At2\"   DISABLED_style= \"max-width:90%; height:auto;\" > r2 = 16 mph <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d2+=+16%2At2 ALIGN=MIDDLE  ALT=\"d2+=+16%2At2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1+=+4%28t2%2B2%2F3%29 ALIGN=MIDDLE  ALT=\"d1+=+4%28t2%2B2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When they meet, d1 = d2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28t2%2B2%2F3%29+=+16%2At2 ALIGN=MIDDLE  ALT=\"4%28t2%2B2%2F3%29+=+16%2At2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for t2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2At2+%2B+8%2F3+=+16%2At2 ALIGN=MIDDLE  ALT=\"4%2At2+%2B+8%2F3+=+16%2At2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4*t2 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3+=+12%2At2 ALIGN=MIDDLE  ALT=\"8%2F3+=+12%2At2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 12.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F36+=+t2 ALIGN=MIDDLE  ALT=\"8%2F36+=+t2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "t2 = 2/9 hours They will meet 2/9 hrs (13.3... mins) after the cyclist starts.\r<BR>\n" );
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document.write( "They will have traveled a distance of d1 = 16*t2 or 16 mph(2/9 hrs) = 3.56 miles.\r<BR>\n" );
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document.write( "Has the walker completed the course?  Who knows!  How long is the course?\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1+=+4+mph%28t1%29 ALIGN=MIDDLE  ALT=\"d1+=+4+mph%28t1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1+=+4+mph%28t2%2B2%2F3%29 ALIGN=MIDDLE  ALT=\"d1+=+4+mph%28t2%2B2%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=d1+=+4%282%2F9+%2B+2%2F3%29 ALIGN=MIDDLE  ALT=\"d1+=+4%282%2F9+%2B+2%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=d1+=+4%282%2F9+%2B+6%2F9%29 ALIGN=MIDDLE  ALT=\"d1+=+4%282%2F9+%2B+6%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1+=+4%288%2F9%29 ALIGN=MIDDLE  ALT=\"d1+=+4%288%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1+=+32%2F9 ALIGN=MIDDLE  ALT=\"d1+=+32%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d2+=+16+mph%28t2%29 ALIGN=MIDDLE  ALT=\"d2+=+16+mph%28t2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d2+=+16+mph%282%2F9+hrs%29 ALIGN=MIDDLE  ALT=\"d2+=+16+mph%282%2F9+hrs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d2+=+32%2F9 ALIGN=MIDDLE  ALT=\"d2+=+32%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles.<BR>\n" );
document.write( " </SPAN>\n" );
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