document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124547>Question 124547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jim can fill a pool in 30 min. Sue can fill the same pool in 45. Tony can fill the pool in an hour and a half. How quickly can they fill it together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91326 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=91326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Think of it this way. <BR>\n" );
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document.write( "Since Jim can fill the pool in 30 minutes, each minute that goes by he fills one-thirtieth (or 1/30)<BR>\n" );
document.write( "of the pool.<BR>\n" );
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document.write( "Sue can fill the same pool in 45 minutes. Therefore, each minute that goes by Sue fills one-forty fifth <BR>\n" );
document.write( "(or 1/45) of the pool.<BR>\n" );
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document.write( "Tony fills the pool in and hour and a half (or 90 minutes). And so, each minute that goes by<BR>\n" );
document.write( "he fills one-ninetieth (1/90) of the pool.<BR>\n" );
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document.write( "When they all work together each minute that goes by they fill the sum of all these rates.<BR>\n" );
document.write( "So in a minute they fill:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F30+%2B+1%2F45+%2B+1%2F90 ALIGN=MIDDLE  ALT=\"1%2F30+%2B+1%2F45+%2B+1%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "of the pool. If you put all of these fractions over a common denominator of 90 you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F90+%2B+2%2F90+%2B+1%2F90+=+6%2F90+=+1%2F15 ALIGN=MIDDLE  ALT=\"3%2F90+%2B+2%2F90+%2B+1%2F90+=+6%2F90+=+1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So in one minute by working together they fill one-fifteenth of the pool.  Therefore, when<BR>\n" );
document.write( "they work together they can completely fill the pool in 15 minutes. You can express this<BR>\n" );
document.write( "in equation form as:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F30+%2B+1%2F45+%2B+1%2F90%29%2At+=+1 ALIGN=MIDDLE  ALT=\"%281%2F30+%2B+1%2F45+%2B+1%2F90%29%2At+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Again, combining the fractions results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F15%29%2At+=+1 ALIGN=MIDDLE  ALT=\"%281%2F15%29%2At+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can solve for t by either dividing both sides of this equation by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F15 ALIGN=MIDDLE  ALT=\"1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > or by multiplying<BR>\n" );
document.write( "both sides of the equation by 15. In either case you will get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+15 ALIGN=MIDDLE  ALT=\"t+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Indicating that the pool gets filled in 15 minutes when they all work together.<BR>\n" );
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document.write( "Hope this helps you to understand the problem a little better.<BR>\n" );
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