document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711800>Question 711800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. My name is Allen and I've been having difficulty with this problem. I sent this equation to this website a few days ago but no response. I came up with 7/9 hours, which is incorrect. Here is the equation:\r<BR>\n" );
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document.write( " A swimming pool can be filled by either or both of two pipes of different diameters. It takes the smaller pipe twice the time that the larger pipe takes to fill the pool. If water flows through both pipes it take 2 1/3 hours to fill the pool. How long will it take the larger pipe to fill the pool? [hint: let x be the amount of the pool filled by the small pipe in one hour]\r<BR>\n" );
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document.write( "Time = ______ hours \r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437634 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=437634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let r = filling rate of the large pipe.\r<BR>\n" );
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document.write( "It takes the smaller pipe twice the time that the larger pipe takes to fill the pool.  \r<BR>\n" );
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document.write( "That means, filling rate for the small pipe is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29r ALIGN=MIDDLE  ALT=\"%281%2F2%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "If water flows through both pipes it take 2 1/3 hours to fill the pool.\r<BR>\n" );
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document.write( "Both pipes open and filling the pool at the same time means that the fill rate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2B%281%2F2%29r ALIGN=MIDDLE  ALT=\"r%2B%281%2F2%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  At this extent of information development, you could create a table of data but this is not really necessary.  You are given the time it takes to DO THE JOB of filling the tank, being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%261%2F3 ALIGN=MIDDLE  ALT=\"2%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.\r<BR>\n" );
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document.write( "Pipe___________rate_______________time____________how many jobs<BR>\n" );
document.write( "Small___________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F2 ALIGN=MIDDLE  ALT=\"r%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >_______________(____)___________1<BR>\n" );
document.write( "Big_____________r_________________(____)___________1<BR>\n" );
document.write( "Both Together___<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2B%281%2F2%29r ALIGN=MIDDLE  ALT=\"r%2B%281%2F2%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" >_____________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%261%2F3 ALIGN=MIDDLE  ALT=\"2%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >_____________1\r<BR>\n" );
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document.write( "If the rate is number of jobs per unit of time, and if time is time (be consistant with the unit you use), then rate multiplied by time is the number of jobs. r*t=j, using j as a variable for how many jobs.  Let's use those!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28r%2Br%2F2%29%282%261%2F3%29=1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28r%2Br%2F2%29%282%261%2F3%29=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we need to find r, the fill rate for the big pipe. Just algebra steps.  \r<BR>\n" );
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document.write( "Remember, r is in units of jobs per hour.  YOU want the reciprocal.  When you find r, calculate its reciprocal.  You want <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fr ALIGN=MIDDLE  ALT=\"1%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but easier first to find r.\r<BR>\n" );
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document.write( "post note:  In fact even if you check the previous tutor's solution you will find your arithmetic mistake.  A factor of 2 missing.  My work gave me <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F9 ALIGN=MIDDLE  ALT=\"14%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per hour which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F14 ALIGN=MIDDLE  ALT=\"9%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours to fill the pool just through the big pipe.  39 minutes. </SPAN>\n" );
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