document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91598>Question 91598</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 #66519 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=66519\">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( "Let \"the job\" be mix 20 drinks<BR>\n" );
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document.write( "Steven DATA:<BR>\n" );
document.write( "Time = 5 min/job ; Rate = 1/5 job/min<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Sue DATA:<BR>\n" );
document.write( "Time = 10 min/job ; Rate = 1/10 job/min<BR>\n" );
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document.write( "Jack DATA:<BR>\n" );
document.write( "Time = 15 min/job ; Rate = 1/15 job/min<BR>\n" );
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document.write( "Together DATA:<BR>\n" );
document.write( "Time = x min/job ; Rate = 1/x job/min<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "rate + rate + rate = together rate<BR>\n" );
document.write( "1/5 + 1/10 + 1/15 = 1/x<BR>\n" );
document.write( "Multiply thru by 30x to get:<BR>\n" );
document.write( "6x + 3x + 2x = 30<BR>\n" );
document.write( "11x = 30<BR>\n" );
document.write( "x = (30/11) min/job <BR>\n" );
document.write( "Time for all working together to mix 20 drinks = 30/11 = 2.73 minutes<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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