document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006200>Question 1006200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bill wants to fill his pool up. A fire hose sprays 13.5 times per minute faster than a garden hose. If the fire hose and garden hose combined fill the pool in 107 minutes, how long would it take for the garden hose alone to fill the pool?\r<BR>\n" );
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document.write( "13.5x + x = 107<BR>\n" );
document.write( "X=107/14.5\r<BR>\n" );
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document.write( "But I know this is incorrect and I cannot seem to figure it out. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622350 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rate of filling with either the<BR>\n" );
document.write( "fire hose or garden hose is expressed as:<BR>\n" );
document.write( "[ fraction of pool filled ] / [ time to fill that fraction of pool ]<BR>\n" );
document.write( "So, I will say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate of filling for garden hose<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B2%5D+ ALIGN=MIDDLE  ALT=\"+r%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate of filling for fire hose<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "I can also say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B2%5D+=+13.5r%5B1%5D+ ALIGN=MIDDLE  ALT=\"+r%5B2%5D+=+13.5r%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "also given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+%2B+r%5B2%5D+=+1%2F107+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+%2B+r%5B2%5D+=+1%2F107+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is [ 1 pool filled ] / [ 107 minutes ]<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+%2B+13.5r%5B1%5D+=+1%2F107+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+%2B+13.5r%5B1%5D+=+1%2F107+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14.5r%5B1%5D+=+1%2F107+ ALIGN=MIDDLE  ALT=\"+14.5r%5B1%5D+=+1%2F107+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+1%2F1551.5+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+1%2F1551.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B2%5D+=+13.5r%5B1%5D+ ALIGN=MIDDLE  ALT=\"+r%5B2%5D+=+13.5r%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B2%5D+=+13.5%2A%28+1%2F1551.5+%29+ ALIGN=MIDDLE  ALT=\"+r%5B2%5D+=+13.5%2A%28+1%2F1551.5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B2%5D+=+1%2F114.93+ ALIGN=MIDDLE  ALT=\"+r%5B2%5D+=+1%2F114.93+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "For the garden hose:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1551.5%2F60+=+25.858+ ALIGN=MIDDLE  ALT=\"+1551.5%2F60+=+25.858+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.858%2A60+=+51.5+ ALIGN=MIDDLE  ALT=\"+.858%2A60+=+51.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It will take 25 hrs 51.5 minutes<BR>\n" );
document.write( "to fill the pool<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+%2B+r%5B2%5D+=+1%2F107+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+%2B+r%5B2%5D+=+1%2F107+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F1551.5+%2B+1%2F114.93+=+1%2F107+ ALIGN=MIDDLE  ALT=\"+1%2F1551.5+%2B+1%2F114.93+=+1%2F107+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0006445+%2B+.0087+=+.009346+ ALIGN=MIDDLE  ALT=\"+.0006445+%2B+.0087+=+.009346+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0093445+=+.009346+ ALIGN=MIDDLE  ALT=\"+.0093445+=+.009346+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks close enough. These are pretty strange<BR>\n" );
document.write( "numbers.  I would definitely get another<BR>\n" );
document.write( "opinion on this. Hopefully, I got it </SPAN>\n" );
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