document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=645148>Question 645148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes 3 pumps 8 hours to pump water out of a flooded basement. Find the time it takes each of them to pump water out of the basement by itself if it is known that the first pump is<BR>\n" );
document.write( "twice as fast as the second pimp and three times as fast as the third pump.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405410 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=405410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes 3 pumps 8 hours to pump water out of a flooded basement.<BR>\n" );
document.write( " Find the time it takes each of them to pump water out of the basement by<BR>\n" );
document.write( " itself if it is known that the first pump is twice as fast as the second<BR>\n" );
document.write( " pimp and three times as fast as the third pump.<BR>\n" );
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document.write( "I am not sure how effective a pimp would be in this task. <BR>\n" );
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document.write( "Three pumps with times of: a, b, c<BR>\n" );
document.write( "Let the completed job = 1 (an empty basement)<BR>\n" );
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document.write( "Write a shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fa ALIGN=MIDDLE  ALT=\"8%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fb ALIGN=MIDDLE  ALT=\"8%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fc ALIGN=MIDDLE  ALT=\"8%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"the first pump is twice as fast as the second\"<BR>\n" );
document.write( "b = 2a (b take 2 times as long as a)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "three times as fast as the third pump.<BR>\n" );
document.write( "c = 3a (c takes 3 times as long as a)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Replace b and c in the shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Fa ALIGN=MIDDLE  ALT=\"8%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%282a%29 ALIGN=MIDDLE  ALT=\"8%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%283a%29 ALIGN=MIDDLE  ALT=\"8%2F%283a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 6a to clear the denominators, results:<BR>\n" );
document.write( "6(8) + 3(8) + 2(8) = 6a<BR>\n" );
document.write( "48 + 24 + 16 = 6a<BR>\n" );
document.write( "88 = 6a<BR>\n" );
document.write( "a = 88/6<BR>\n" );
document.write( "a = 14<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "b = 2(14<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 29<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs working alone<BR>\n" );
document.write( "and<BR>\n" );
document.write( "c = 3(14<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 44 hrs working alone </SPAN>\n" );
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