document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1053830>Question 1053830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A, B & C can do a piece of work in 30,20 & 10 days respectively. A is assisted by B on one day & by C on the next day alternatively. How long would the work take to finish ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669139 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=669139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A, B & C can do a piece of work in 30,20 & 10 days respectively.<BR>\n" );
document.write( " A is assisted by B on one day & by C on the next day alternatively.<BR>\n" );
document.write( " How long would the work take to finish ?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let t = A's time to do the job with all working as described above<BR>\n" );
document.write( "B & C worked half the time,therefore<BR>\n" );
document.write( " .5t = time worked by B & C<BR>\n" );
document.write( "let the completed job = 1<BR>\n" );
document.write( "Each will do a fraction of the job, the 3 fractions add up to 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F30 ALIGN=MIDDLE  ALT=\"t%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.5t%29%2F20 ALIGN=MIDDLE  ALT=\"%28.5t%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.5t%29%2F10 ALIGN=MIDDLE  ALT=\"%28.5t%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 <BR>\n" );
document.write( "multiply equation by 300 to cancel the denominators<BR>\n" );
document.write( "10t + 15(.5t) + 30(.5t) = 300<BR>\n" );
document.write( "10t + 7.5t + 15t = 300<BR>\n" );
document.write( "32.5t = 300<BR>\n" );
document.write( "t = 90.231 days to complete job </SPAN>\n" );
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