document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200936>Question 200936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question(200898) is in your data base but i am not positive if it is correct. I was told there is a answer. Could somebody else PLEASE look at this problem again and work it to verify if it is correct or wrong. I would really appreciate it..Thanks\r<BR>\n" );
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document.write( "A biker can travel 18 mph with no wind. The same rider can bicycle 8 mi against the wind in the same time it takes to bicycle 12 miles with the wind. What is the speed of the wind?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151152 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=151152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w = speed of the wind (in mph)\r<BR>\n" );
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document.write( "First, let's set up the equation involving the trip against the wind:\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 formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=%2818-w%29t ALIGN=MIDDLE  ALT=\"8=%2818-w%29t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=8 ALIGN=MIDDLE  ALT=\"d=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=18-w ALIGN=MIDDLE  ALT=\"r=18-w\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the wind slows him down, so you must subtract \"w\" from 18)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%2818-w%29=t ALIGN=MIDDLE  ALT=\"8%2F%2818-w%29=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18-w ALIGN=MIDDLE  ALT=\"18-w\"   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=8%2F%2818-w%29 ALIGN=MIDDLE  ALT=\"t=8%2F%2818-w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "-----------------------------------\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 formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=%2818%2Bw%29t ALIGN=MIDDLE  ALT=\"12=%2818%2Bw%29t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=12 ALIGN=MIDDLE  ALT=\"d=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=18%2Bw ALIGN=MIDDLE  ALT=\"r=18%2Bw\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the wind speeds him up, so you must add \"w\" to 18)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%2818%2Bw%29=t ALIGN=MIDDLE  ALT=\"12%2F%2818%2Bw%29=t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Bw ALIGN=MIDDLE  ALT=\"18%2Bw\"   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=12%2F%2818%2Bw%29 ALIGN=MIDDLE  ALT=\"t=12%2F%2818%2Bw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "-------------------------------------\r<BR>\n" );
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document.write( "Now recall that he \"can bicycle 8 mi against the wind in the same time it takes to bicycle 12 miles with the wind\". So this means that the times \"t\" are the same variable. This means that we can plug one equation into another:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=12%2F%2818%2Bw%29 ALIGN=MIDDLE  ALT=\"t=12%2F%2818%2Bw%29\"   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=8%2F%2818-w%29=12%2F%2818%2Bw%29 ALIGN=MIDDLE  ALT=\"8%2F%2818-w%29=12%2F%2818%2Bw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=8%2F%2818-w%29 ALIGN=MIDDLE  ALT=\"t=8%2F%2818-w%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=8%2818%2Bw%29=12%2818-w%29 ALIGN=MIDDLE  ALT=\"8%2818%2Bw%29=12%2818-w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2B8w=216-12w ALIGN=MIDDLE  ALT=\"144%2B8w=216-12w\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8w=216-12w-144 ALIGN=MIDDLE  ALT=\"8w=216-12w-144\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144 ALIGN=MIDDLE  ALT=\"144\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8w%2B12w=216-144 ALIGN=MIDDLE  ALT=\"8w%2B12w=216-144\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12w ALIGN=MIDDLE  ALT=\"12w\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20w=216-144 ALIGN=MIDDLE  ALT=\"20w=216-144\"   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=20w=72 ALIGN=MIDDLE  ALT=\"20w=72\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%2872%29%2F%2820%29 ALIGN=MIDDLE  ALT=\"w=%2872%29%2F%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   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=w=18%2F5 ALIGN=MIDDLE  ALT=\"w=18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=3.6 ALIGN=MIDDLE  ALT=\"w=3.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide (either use a calculator or long division)\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=w=3.6 ALIGN=MIDDLE  ALT=\"w=3.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the speed of the wind is 3.6 mph.\r<BR>\n" );
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document.write( "Note: if you are expecting a whole number for an answer, I would verify that you have the correct problem written down. </SPAN>\n" );
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