document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393202>Question 393202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pumps of different sizes working together can empty a tank in 3 hours. The larger pump can empty this tank in 5 hours. How long will it take the smaller one to do the job alone? Show the 4-step process. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279144 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=279144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two pumps of different sizes working together can empty a tank in 3 hours.<BR>\n" );
document.write( " The larger pump can empty this tank in 5 hours.<BR>\n" );
document.write( " How long will it take the smaller one to do the job alone? <BR>\n" );
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document.write( "Let t = time required by the small pump alone<BR>\n" );
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document.write( "Let the completed job = 1 (an empty tank)<BR>\n" );
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document.write( "Each pump will do a fraction of the job, the two fractions add up to 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ft ALIGN=MIDDLE  ALT=\"3%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 5t, results<BR>\n" );
document.write( "3t + 5(3) = 5t<BR>\n" );
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document.write( "15 = 5t - 3t<BR>\n" );
document.write( "15 = 2t<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F2 ALIGN=MIDDLE  ALT=\"15%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 7.5 hrs, the small pump alone<BR>\n" );
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document.write( "Check the solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7.5 ALIGN=MIDDLE  ALT=\"3%2F7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".6 + .4 = 1; confirms our solution </SPAN>\n" );
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