document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135070>Question 135070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98915 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=98915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?<BR>\n" );
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document.write( "Here is another method, which I think is simpler.<BR>\n" );
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document.write( "Let t = time (in min) required when they all work together<BR>\n" );
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document.write( "Let the completed job = 1; (the mixing of 20 drinks)<BR>\n" );
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document.write( "A simple shared work equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F5 ALIGN=MIDDLE  ALT=\"t%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F10 ALIGN=MIDDLE  ALT=\"t%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F15 ALIGN=MIDDLE  ALT=\"t%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiplying the equation by 30 gets rid of the denominators:<BR>\n" );
document.write( "6t + 3t + 2t = 30<BR>\n" );
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document.write( "11t = 20<BR>\n" );
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document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F11 ALIGN=MIDDLE  ALT=\"30%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "t = 2.727 min<BR>\n" );
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document.write( "Check: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.727%2F5 ALIGN=MIDDLE  ALT=\"2.727%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.727%2F10 ALIGN=MIDDLE  ALT=\"2.727%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.727%2F15 ALIGN=MIDDLE  ALT=\"2.727%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".545 + .272 + .182 = .99 ~ 1<BR>\n" );
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document.write( "Sorry I got my numbers wrong the 1st time. </SPAN>\n" );
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