document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101890>Question 1101890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kate leaves town P and cycles towards town Q which is 100 km away, at the speed of 5 metres/ second. Thirty minutes later, Ben leaves town Q and travels towards town P at 9 metres/second.\r<BR>\n" );
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document.write( "a. How long has Ben been traveling for when he meets Kate? <BR>\n" );
document.write( "b. How many kilometres from P are they when they meet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716505 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=716505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (Part (a) )\r<BR>\n" );
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document.write( "The speeds were given in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=meters%2Fsecond ALIGN=MIDDLE  ALT=\"meters%2Fsecond\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but the calculations should be better handled with kilometers, and hours.  The conversion factor to get KM per HOUR is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F5 ALIGN=MIDDLE  ALT=\"18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Both Kate and Ben traveled at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2B9%2818%2F5%29 ALIGN=MIDDLE  ALT=\"18%2B9%2818%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > kilom per hour for x hours; but first, Kate traveled at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2818%2F5%29 ALIGN=MIDDLE  ALT=\"5%2818%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > kilometers per hour for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.<BR>\n" );
document.write( "Total distance given as 100 km.\r<BR>\n" );
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document.write( "x, time in hours while both were traveling toward each other                          <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%2818%2B9%2A18%2F5%29x%2B18%281%2F2%29=100%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%2818%2B9%2A18%2F5%29x%2B18%281%2F2%29=100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(omitting algebra steps here)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.806 ALIGN=MIDDLE  ALT=\"x=1.806\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hours ALIGN=MIDDLE  ALT=\"hours\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1 hour 48 minutes<BR>\n" );
document.write( "Time for Ben to meet Kate between P and Q.\r<BR>\n" );
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document.write( "----------------<BR>\n" );
document.write( "The speed unit conversions:\r<BR>\n" );
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document.write( "1 hour is 3600 seconds.<BR>\n" );
document.write( "1 kilometer is 1000 meters.\r<BR>\n" );
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document.write( "Problem description gave speeds in meters per second but gave distance in kilometers and problem may be more easily handled in KILOMETERS, HOURS.\r<BR>\n" );
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document.write( "Any given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters per seconds, as speed\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28meters%2Fseconds%29%281%2F1000%29%28kilometer%2Fmeters%29%283600%2F1%29%28seconds%2Fhour%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2A%281%2F1000%29%283600%29 ALIGN=MIDDLE  ALT=\"t%2A%281%2F1000%29%283600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%283600%2F1000%29 ALIGN=MIDDLE  ALT=\"t%283600%2F1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2836%2F10%29 ALIGN=MIDDLE  ALT=\"t%2836%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28%282%2A18%29%2F%282%2A5%29%29 ALIGN=MIDDLE  ALT=\"t%28%282%2A18%29%2F%282%2A5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2A%2818%2F5%29 ALIGN=MIDDLE  ALT=\"t%2A%2818%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=kilometers%2Fhour ALIGN=MIDDLE  ALT=\"kilometers%2Fhour\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For a given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fseconds ALIGN=MIDDLE  ALT=\"m%2Fseconds\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the same speed is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2818%2F5%29%28kilometers%2Fhour%29 ALIGN=MIDDLE  ALT=\"t%2818%2F5%29%28kilometers%2Fhour%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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