document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033132>Question 1033132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemistry experiment requires that a vacuum be created in a chamber. A small vacuum pump requires 15 seconds to evacuate the chamber. Working together, the chamber can be evacuated in 4 sec. Find the time required for the larger vacuum pump working alone to evacuate the chamber. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647727 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A chemistry experiment requires that a vacuum be created in a chamber. A small vacuum pump requires 15 seconds to evacuate the chamber. <BR>\n" );
document.write( "Working together, the chamber can be evacuated in 4 sec. <BR>\n" );
document.write( "Find the time required for the larger vacuum pump working alone to evacuate the chamber.<BR>\n" );
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document.write( "The set up is like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2FA+%2B+t%2FB+=+1 ALIGN=MIDDLE  ALT=\"t%2FA+%2B+t%2FB+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where A and B are the times working alone and t is the time working together...thus we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F15+%2B+t%2F4+=+1 ALIGN=MIDDLE  ALT=\"t%2F15+%2B+t%2F4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 60 and get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4t+%2B+15t+=+60 ALIGN=MIDDLE  ALT=\"4t+%2B+15t+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19t+=+60 ALIGN=MIDDLE  ALT=\"19t+=+60\"   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=t+=+60%2F19 ALIGN=MIDDLE  ALT=\"t+=+60%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F19 ALIGN=MIDDLE  ALT=\"3%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds.\r<BR>\n" );
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document.write( "<U>Answer</U>.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F19 ALIGN=MIDDLE  ALT=\"3%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds.\r<BR>\n" );
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document.write( "There are many other similar solved joint-work problems in the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Word-problems-WORKING-TOGETHER-by-Fractions.lesson>Using Fractions to solve word problems on joint work</A>,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Solving-more-complicated-word-problems-on-joint-work.lesson>Solving more complicated word problems on joint work</A>,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Selected-problems-from-the-archive-on-joint-work-word-problems.lesson>Selected joint-work word problems from the archive</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "It is good material for you to learn and to get trained in solution of joint-work problems.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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