document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=600545>Question 600545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a swimming pool can be filled by pump A in 3 hrs and by pump B in 6 hrs, each pump working on its own. at 9AM. pump A is started. at what time will the swimming pool be filled if pump B is started at 10AM? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379447 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=379447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a swimming pool can be filled by pump A in 3 hrs and by pump B in 6 hrs, each pump working on its own.<BR>\n" );
document.write( " at 9AM. pump A is started. at what time will the swimming pool be filled if pump B is started at 10AM?<BR>\n" );
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document.write( "Let t = the pumping time of the B pump<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+1) = the pumping time of the A<BR>\n" );
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document.write( "Let the completed job = 1 (a full pool)<BR>\n" );
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document.write( "Pump B + Pump A = a full pool<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B1%29%29%2F3 ALIGN=MIDDLE  ALT=\"%28%28t%2B1%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 6<BR>\n" );
document.write( "6*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 6*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B1%29%29%2F3 ALIGN=MIDDLE  ALT=\"%28%28t%2B1%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6(1)<BR>\n" );
document.write( "Cancel the denominators, results:<BR>\n" );
document.write( "t + 2(t+1) = 6<BR>\n" );
document.write( "t + 2t + 2 = 6<BR>\n" );
document.write( "3t = 6 - 2<BR>\n" );
document.write( "3t = 4<BR>\n" );
document.write( "t = 4/3 hrs which is 1 hr 20 min, <BR>\n" );
document.write( "Full pool at 11:20 <BR>\n" );
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document.write( "See if that checks out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.33%2F6 ALIGN=MIDDLE  ALT=\"1.33%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.33%2F3 ALIGN=MIDDLE  ALT=\"2.33%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".2217 + .7767 = .998 ~ 1\r<BR>\n" );
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document.write( "Full pool at 12 PM  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );