document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203042>Question 203042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom work together to complete it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153197 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time it takes if all are working together<BR>\n" );
document.write( "Then together they work at the rate of 1/x job per day<BR>\n" );
document.write( "Sam works at the rate of 1/4 job per day<BR>\n" );
document.write( "Lisa works at the rate of 1/6 job per day<BR>\n" );
document.write( "Tom works at the rate of 1/2 job per day<BR>\n" );
document.write( "So, together they work at the rate of 1/4 + 1/6 +1/2 =3/12+2/12+6/12=11/12 of the job per day.  So, our equation to solve is:\r<BR>\n" );
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document.write( "11/12=1/x or<BR>\n" );
document.write( "11x=12<BR>\n" );
document.write( "x=12/11 days-----------------------amount of time when all are working together<BR>\n" );
document.write( "In other words, just a bit over a day\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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