document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995830>Question 995830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When the drain is opened on a swimming pool it takes the pool 6 hours to drain.  When a small pump is used, it is able to drain in 5 hours.  How many small pumps must be used to drain the pool in 2 hours?\r<BR>\n" );
document.write( "\n" );
document.write( "What I have so far, <BR>\n" );
document.write( "Let x = number of small pumps<BR>\n" );
document.write( "(1/6) + x(1/5) = 1/2 <BR>\n" );
document.write( "But I get x = 5/3\r<BR>\n" );
document.write( "\n" );
document.write( "So, am I to conclude that I need 2 pumps and they will drain the pool in under 2 hours? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614476 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=614476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the drain is opened on a swimming pool it takes the pool 6 hours to drain. When a small pump is used, it is able to drain in 5 hours. How many small pumps must be used to drain the pool in 2 hours? <BR>\n" );
document.write( "------<BR>\n" );
document.write( "Small pump DATA:<BR>\n" );
document.write( "rate = 1/5 job/hr<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time * work rate per unit * # of units = work done<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "2(1/5)x = 1 job<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(2/5)x = 1<BR>\n" );
document.write( "x = (5/2) # of small pumps needed<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "If you include the work done by the drain without the pumps you get:<BR>\n" );
document.write( "2((1/6)+(1/5)x) = 1 job<BR>\n" );
document.write( "[(1/3)]+(2/5)x] = 1<BR>\n" );
document.write( "(2/5)X = 2/3<BR>\n" );
document.write( "(X/5) = 1/3<BR>\n" );
document.write( "x = 5/3 small pumps<BR>\n" );
document.write( "========\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );