document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=529579>Question 529579</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 #349768 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=349768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Steven can mix 20 drinks in 5 minutes,<BR>\n" );
document.write( " Sue can mix 20 drinks in 10 minutes, <BR>\n" );
document.write( "and Jack can mix 20 drinks in 15 minutes, <BR>\n" );
document.write( "ow much time will it take all 3 of them working together to mix the 20 drinks?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "There is an easy way to do this.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required to do the job when they all work together<BR>\n" );
document.write( "Let the completed job = 1 (the mixing of 20 drinks)<BR>\n" );
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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" );
document.write( "multiply by 30, the LCM of the 3 denominators<BR>\n" );
document.write( "30*<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;\" > + 30<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;\" > + 30*<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;\" > = 30(1)<BR>\n" );
document.write( "Cancel out the denominators and you have<BR>\n" );
document.write( "6t + 3t + 2t = 30<BR>\n" );
document.write( "11t = 30<BR>\n" );
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" );
document.write( "t = 2.73 minutes or 2 + .73(60) = 2 min 43.6 seconds<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.73%2F5 ALIGN=MIDDLE  ALT=\"2.73%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.73%2F10 ALIGN=MIDDLE  ALT=\"2.73%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.73%2F15 ALIGN=MIDDLE  ALT=\"2.73%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".546 + .273 + .182 = 1.00; confirms our solution of 2.73 min </SPAN>\n" );
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