document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000285>Question 1000285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two indian tourists in US cycled towards each other,one from A and other from B.the first tourist left point A 6 hrs later than the 2nd left pt B,  and it turned out on their meeting that he had travelled 12 km less than the second tourist. After meeting,they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the 2nd arrived at A 9 hours later. Find speed of the faster tourist </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617831 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=617831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Both tourists meet at point C, located somewhere between A and B.\r<BR>\n" );
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document.write( "The first tourist cycles 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;\" > hours at an average speed of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B1%5D ALIGN=MIDDLE  ALT=\"v%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hour, going from A to C.<BR>\n" );
document.write( "So the distance from A to C is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Av%5B1%5D ALIGN=MIDDLE  ALT=\"t%2Av%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After the two tourists meet at C, the second tourist cycles from C to A,<BR>\n" );
document.write( "at an average speed of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B2%5D ALIGN=MIDDLE  ALT=\"v%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hour, for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.<BR>\n" );
document.write( "So the distance from C to A is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Av%5B2%5D ALIGN=MIDDLE  ALT=\"9%2Av%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since the the distance from A to C is the same as the distance from C to A,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Av%5B1%5D=9%2Av%5B2%5D ALIGN=MIDDLE  ALT=\"t%2Av%5B1%5D=9%2Av%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (equation 1).\r<BR>\n" );
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document.write( "The second tourist cycled from B to C in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B6 ALIGN=MIDDLE  ALT=\"t%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours, at an average speed of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B2%5D ALIGN=MIDDLE  ALT=\"v%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hour.<BR>\n" );
document.write( "So the distance from B to C is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B6%29%2Av%5B2%5D ALIGN=MIDDLE  ALT=\"%28t%2B6%29%2Av%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After the two tourists meet at C, the second tourist cycles from C to B,<BR>\n" );
document.write( "at an average speed of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B1%5D ALIGN=MIDDLE  ALT=\"v%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hour, for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.<BR>\n" );
document.write( "So the distance from C to A is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Av%5B1%5D ALIGN=MIDDLE  ALT=\"8%2Av%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since the the distance from B to C is the same as the distance from C to B,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Av%5B1%5D=%28t%2B6%29%2Av%5B2%5D ALIGN=MIDDLE  ALT=\"8%2Av%5B1%5D=%28t%2B6%29%2Av%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (equation 2).\r<BR>\n" );
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document.write( "Dividing  equation 2 by equation 1, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Av%5B1%5D%2F%28t%2Av%5B1%5D%29=%28t%2B6%29%2Av%5B2%5D%2F%289%2Av%5B2%5D%29 ALIGN=MIDDLE  ALT=\"8%2Av%5B1%5D%2F%28t%2Av%5B1%5D%29=%28t%2B6%29%2Av%5B2%5D%2F%289%2Av%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Ft=%28t%2B6%29%2F9 ALIGN=MIDDLE  ALT=\"8%2Ft=%28t%2B6%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28t%2B6%29=8%2A9 ALIGN=MIDDLE  ALT=\"t%28t%2B6%29=8%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28t%2B6%29=72 ALIGN=MIDDLE  ALT=\"t%28t%2B6%29=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2%2B6t=72 ALIGN=MIDDLE  ALT=\"t%5E2%2B6t=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2%2B6t%2B9=72%2B9 ALIGN=MIDDLE  ALT=\"t%5E2%2B6t%2B9=72%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B3%29%5E2=81 ALIGN=MIDDLE  ALT=\"%28t%2B3%29%5E2=81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From there, we conclude that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B3=9 ALIGN=MIDDLE  ALT=\"t%2B3=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=6 ALIGN=MIDDLE  ALT=\"t=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > , because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B3=-9 ALIGN=MIDDLE  ALT=\"t%2B3=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-12 ALIGN=MIDDLE  ALT=\"t=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not make sense.<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B6=6%2B6=12 ALIGN=MIDDLE  ALT=\"t%2B6=6%2B6=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=6 ALIGN=MIDDLE  ALT=\"t=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > into equation 1, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5B1%5D=9%2Av%5B2%5D ALIGN=MIDDLE  ALT=\"6%2Av%5B1%5D=9%2Av%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2v%5B1%5D=3v%5B2%5D ALIGN=MIDDLE  ALT=\"2v%5B1%5D=3v%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "Before they met at C,<BR>\n" );
document.write( "the second tourist had cycled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B6%29=12v%5B2%5D ALIGN=MIDDLE  ALT=\"%28t%2B6%29=12v%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,while<BR>\n" );
document.write( "the first tourist had cycled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Av%5B1%5D=6%2Av%5B1%5D ALIGN=MIDDLE  ALT=\"t%2Av%5B1%5D=6%2Av%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since the first tourist had traveled 12 km less than the second tourist,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5B1%5D=12v%5B2%5D-12 ALIGN=MIDDLE  ALT=\"6%2Av%5B1%5D=12v%5B2%5D-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B1%5D=2v%5B2%5D-2 ALIGN=MIDDLE  ALT=\"v%5B1%5D=2v%5B2%5D-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2v%5B1%5D=4v%5B2%5D-4 ALIGN=MIDDLE  ALT=\"2v%5B1%5D=4v%5B2%5D-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282v%5B1%5D=4v%5B2%5D-4%2C2v%5B1%5D=3v%5B2%5D%29 ALIGN=MIDDLE  ALT=\"system%282v%5B1%5D=4v%5B2%5D-4%2C2v%5B1%5D=3v%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4v%5B2%5D-4=3v%5B2%5D ALIGN=MIDDLE  ALT=\"4v%5B2%5D-4=3v%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4v%5B2%5D-3v%5B2%5D-4=0 ALIGN=MIDDLE  ALT=\"4v%5B2%5D-3v%5B2%5D-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B2%5D-4=0 ALIGN=MIDDLE  ALT=\"v%5B2%5D-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B2%5D=4 ALIGN=MIDDLE  ALT=\"v%5B2%5D=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28v%5B1%5D=2v%5B2%5D-2%2Cv%5B2%5D=4%29 ALIGN=MIDDLE  ALT=\"system%28v%5B1%5D=2v%5B2%5D-2%2Cv%5B2%5D=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B1%5D=2%2A4-2 ALIGN=MIDDLE  ALT=\"v%5B1%5D=2%2A4-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B1%5D=8-2 ALIGN=MIDDLE  ALT=\"v%5B1%5D=8-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v%5B1%5D=6%29 ALIGN=MIDDLE  ALT=\"highlight%28v%5B1%5D=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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