document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=846348>Question 846348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pump was used to empty a flooded basement. After 3 hours, a second bump was added and the basement was emptied in 8 more hours. The first pump could have done the job alone in 20 hours.How long would it take the second pump to do the job alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509693 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=509693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you add the 2 pump's rate of pumping,<BR>\n" );
document.write( "you get their rate pumping together<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "The rate of the 1st pump was:<BR>\n" );
document.write( "( 1 basement pumped ) / ( 20 hrs )<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time in hours for the<BR>\n" );
document.write( "2nd pump to pump out the basement<BR>\n" );
document.write( "after 3 hrs<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "In 3 hours, the 1st pump pumps out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+1%2F20+%29+=+3%2F20+ ALIGN=MIDDLE  ALT=\"+3%2A%28+1%2F20+%29+=+3%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the basement<BR>\n" );
document.write( "That means there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+17%2F20+ ALIGN=MIDDLE  ALT=\"+17%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of<BR>\n" );
document.write( "the basement left to pump out<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2Ft+=+%28%28+17%2F20%29%29+%2F+8+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2Ft+=+%28%28+17%2F20%29%29+%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2Ft+=+17%2F160+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2Ft+=+17%2F160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160t+ ALIGN=MIDDLE  ALT=\"+160t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8t+%2B+160+=+17t+ ALIGN=MIDDLE  ALT=\"+8t+%2B+160+=+17t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9t+=+160+ ALIGN=MIDDLE  ALT=\"+9t+=+160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+17.7778+ ALIGN=MIDDLE  ALT=\"+t+=+17.7778+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.7778%2A60+=+47+ ALIGN=MIDDLE  ALT=\"+.7778%2A60+=+47+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The 2nd pump alone can pump out the <BR>\n" );
document.write( "basement in 17 hrs and 47 minutes<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2Ft+=+17%2F160+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2Ft+=+17%2F160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2F17.7778+=+17%2F160+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2F17.7778+=+17%2F160+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.05+%2B+.05625+=+.10625+ ALIGN=MIDDLE  ALT=\"+.05+%2B+.05625+=+.10625+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.10625+=+.10625+ ALIGN=MIDDLE  ALT=\"+.10625+=+.10625+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );