document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202435>Question 202435</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130452696/algebrahomeworkh>Mathematics For Technical trades</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> here is a math problem I need some help with Thanks.<BR>\n" );
document.write( "You are going on a one-way bus trip. You intend to ride the bus for a certain distance,get off,and walk back to your original starting point taking the same route. If the bus travels at a rate of 9 miles per hour and you walk back at a rate of 3 miles per hour, how far would you ride so as to be back in 8 hours?<BR>\n" );
document.write( "Use the formula:Distance=rate (times) time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152676 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=152676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ignore the last solution. It is incorrect.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=rt ALIGN=MIDDLE  ALT=\"d=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the distance-rate-time equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=9t ALIGN=MIDDLE  ALT=\"d=9t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=9 ALIGN=MIDDLE  ALT=\"r=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the speed of the bus)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F9=t ALIGN=MIDDLE  ALT=\"d%2F9=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 9 to isolate \"t\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=d%2F9 ALIGN=MIDDLE  ALT=\"t=d%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "So it takes the bus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F9 ALIGN=MIDDLE  ALT=\"d%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours to go \"d\" miles.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=rt ALIGN=MIDDLE  ALT=\"d=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the distance-rate-time equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=3t ALIGN=MIDDLE  ALT=\"d=3t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=9 ALIGN=MIDDLE  ALT=\"r=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the walking speed)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F3=t ALIGN=MIDDLE  ALT=\"d%2F3=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3 to isolate \"t\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=d%2F3 ALIGN=MIDDLE  ALT=\"t=d%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "So you take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F3 ALIGN=MIDDLE  ALT=\"d%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours to go \"d\" miles on foot.\r<BR>\n" );
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document.write( "Now add the two times and set them equal to 8:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F9%2Bd%2F3=8 ALIGN=MIDDLE  ALT=\"d%2F9%2Bd%2F3=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The goal now is to solve for \"d\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F9%2Bd%2F3=8 ALIGN=MIDDLE  ALT=\"d%2F9%2Bd%2F3=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%289%29%28d%2Fcross%289%29%29%2Bcross%289%29%5E3%28d%2Fcross%283%29%29=9%288%29 ALIGN=MIDDLE  ALT=\"cross%289%29%28d%2Fcross%289%29%29%2Bcross%289%29%5E3%28d%2Fcross%283%29%29=9%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear any fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2B3d=72 ALIGN=MIDDLE  ALT=\"d%2B3d=72\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4d=72 ALIGN=MIDDLE  ALT=\"4d=72\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%2872%29%2F%284%29 ALIGN=MIDDLE  ALT=\"d=%2872%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   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=d=18 ALIGN=MIDDLE  ALT=\"d=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=18 ALIGN=MIDDLE  ALT=\"d=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means that you would ride the bus for 18 miles, get off, and then walk the 18 miles back.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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