document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847160>Question 847160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Grade 8 math word problem\r<BR>\n" );
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document.write( "Bus station is 10km away. To catch bus before it leaves, you must travel a rate of 60km/hr by car to get there. There is bad weather so you're only able to drive 30km/hr for the first 5km. What speed must you travel the rest of way to catch the bus? <BR>\n" );
document.write( "What I'm thinking so far...<BR>\n" );
document.write( "If you should drive 60km/hr, then 1km should take 1 min (60 divided by 60). Therefore it should normally take 10mins to get there.<BR>\n" );
document.write( "30km/hr divided by 60 would mean you traveled 0.5km/min. So 0.5 x 10= 5km for 10mins. Now what? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510224 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=510224\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> NORMALLY, the situation would conform to RT=D, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2At=10 ALIGN=MIDDLE  ALT=\"60%2At=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28t=10%2F60%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t=10%2F60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours which is ten minutes.  The rest of the description in your problem seems consistant with staying with this same total ten minute time quantity.  \"you're only able to drive 30km/hr for the first 5km. What speed must you travel the rest of way to catch the bus?\"\r<BR>\n" );
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document.write( "DATA TABLE--------------------------------------\r<BR>\n" );
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document.write( "_________________speed__________time_________distance<BR>\n" );
document.write( "Bad Weather______30_____________(___)___________5<BR>\n" );
document.write( "Improved Wthr____r______________(___)__________(___)<BR>\n" );
document.write( "TOTAL__________________________________________10\r<BR>\n" );
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document.write( "We want to find r, the speed to be used in the improved weather, to keep with the total time of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour for the total trip distance of 10 kilometers.  We fill in the missing time slots using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=D%2FR ALIGN=MIDDLE  ALT=\"T=D%2FR\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (the concept, not the actual variables I'm using).\r<BR>\n" );
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document.write( "_________________speed__________time_________distance<BR>\n" );
document.write( "Bad Weather______30_____________(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F30 ALIGN=MIDDLE  ALT=\"5%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >)___________5<BR>\n" );
document.write( "Improved Wthr____r______________(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fr ALIGN=MIDDLE  ALT=\"5%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >)__________(5)<BR>\n" );
document.write( "TOTAL____________________________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >___________10\r<BR>\n" );
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document.write( "The total time sum gives the equation in the single variable, r, which we want to solve.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285%2F30%2B5%2Fr=1%2F6%29 ALIGN=MIDDLE  ALT=\"highlight%285%2F30%2B5%2Fr=1%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "MOST of the solution process (usually) is to analyze the information and formulate that equation.  The rest of the process is just arithmetic.  The trouble is that in trying to simplify that equation on your way to solve for r, you will find:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6%2B1%2Fr=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6%2B1%2Fr=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fr=0 ALIGN=MIDDLE  ALT=\"1%2Fr=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >------This will not work.  <BR>\n" );
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document.write( "In the practical sense, the driver going at 30 km/hour for the first 5 km, has run out of time.  The driver WILL be late on the trip!  What this driver must do is to LEAVE TEN MINUTES (ONE SIXTH HOUR) EARLIER!<BR>\n" );
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document.write( "Notice also, with the bad weather, the speed was cut in half?  This means twice as much time is needed than in the good weather. </SPAN>\n" );
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