document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014461>Question 1014461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two motorcyclists left point A for point B at the same time. The speed of one motorcyclist was 1.5 times greater than the speed of the other one. The motorcyclist, who reached point B first, immediately went back. He met the other motorcyclist in 2 hours and 24 minutes after the departure from point A. The distance between point A and point B is 120 mi. What is the speed of the cyclists and the distance from the point they met and point B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630747 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=630747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> More than one way to analyze and handle the description.  The slow cyclist at rate r went distance<BR>\n" );
document.write( "d.  The fast cyclist in the same amount of time, instead of returning to A covering the full<BR>\n" );
document.write( " round trip, went d miles less than the full found trip; so that he met the slow cyclist on the<BR>\n" );
document.write( "way back.<BR>\n" );
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document.write( "                      rate          time          distance\r\n" );
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document.write( "slow cyclist          r             2&2/5          d\r\n" );
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document.write( "fast cyclist          (3/2)r        2&2/5          2*120-d\r\n" );
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document.write( "total(one way)                                      120\r\n" );
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document.write( "24 minutes is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour;<BR>\n" );
document.write( "\"one and five tenths\" is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, about the factor relating their two speeds or rates.\r<BR>\n" );
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document.write( "When the tabulated data makes sense, two equations will be ready to formulate.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28r%2A%282%262%2F5%29=d%2C%283%2F2%29r%282%262%2F5%29=2%2A120-d%29 ALIGN=MIDDLE  ALT=\"system%28r%2A%282%262%2F5%29=d%2C%283%2F2%29r%282%262%2F5%29=2%2A120-d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify this system and solve for r and d.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28%2812%2F5%29r=d%2C%283%2F2%29%2812%2F5%29r=240-d%29 ALIGN=MIDDLE  ALT=\"system%28%2812%2F5%29r=d%2C%283%2F2%29%2812%2F5%29r=240-d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute for d into the second equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836%2F10%29r=240-%2812%2F5%29r ALIGN=MIDDLE  ALT=\"%2836%2F10%29r=240-%2812%2F5%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836%2F10%2B12%2F5%29r=240 ALIGN=MIDDLE  ALT=\"%2836%2F10%2B12%2F5%29r=240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836%2F10%2B24%2F10%29r=240 ALIGN=MIDDLE  ALT=\"%2836%2F10%2B24%2F10%29r=240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2860%2F10%29r=240 ALIGN=MIDDLE  ALT=\"%2860%2F10%29r=240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6r=240 ALIGN=MIDDLE  ALT=\"6r=240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=240%2F6 ALIGN=MIDDLE  ALT=\"r=240%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%28r=40%29 ALIGN=MIDDLE  ALT=\"highlight%28r=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------the rate or speed of the slower mototcyclist.  You can find the<BR>\n" );
document.write( "distance which each motorcyclist had traveled from this.<BR>\n" );
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