document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189389>Question 189389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pumps can fill a water tank in 45 minutes when working together. Alone, the second pump takes 3 times longer than the first to fill the tank. How long does it take the first pump alone to fill the tank </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142095 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=142095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two pumps can fill a water tank in 45 minutes when working together.<BR>\n" );
document.write( " Alone, the second pump takes 3 times longer than the first to fill the tank.<BR>\n" );
document.write( " How long does it take the first pump alone to fill the tank?<BR>\n" );
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document.write( "Let x = time required for the first pump to fill the tank alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3x = time required for the 2nd pump to do it alone<BR>\n" );
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document.write( "Write an equation of them working together; let the full tank = 1<BR>\n" );
document.write( "Each pump will do a fraction of the job and will equal 1 when added together<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2Fx ALIGN=MIDDLE  ALT=\"45%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F%283x%29 ALIGN=MIDDLE  ALT=\"45%2F%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 3x, results<BR>\n" );
document.write( "3(45) + 45 = 3x<BR>\n" );
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document.write( "135 + 45 = 3x<BR>\n" );
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document.write( "180 = 3x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2F3 ALIGN=MIDDLE  ALT=\"180%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 60 min for pump 1 alone<BR>\n" );
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document.write( ";<BR>\n" );
document.write( "Check solution; (2nd pump requires 3*60 = 180 min alone)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F60 ALIGN=MIDDLE  ALT=\"45%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F180 ALIGN=MIDDLE  ALT=\"45%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".75 + .25 = 1; confirms our solution </SPAN>\n" );
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