document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975770>Question 975770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B can do a piece of work in 6 days,B and c together in 10 days,c and A together in 7 1/2 days.in how many days can c individually completes the work?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854488 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13355)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Tutor @ikleyn has provided a solution using the standard formal method, using the rates of each worker.<br><BR>\n" );
document.write( "Here is a solution by a different method that can usually be used to solve these \"working together\" problems.<br><BR>\n" );
document.write( "Consider the least common multiple of the three given times needed for the three different pairs of workers to complete the job.  That least common multiple is 30 days.<br><BR>\n" );
document.write( "In 30 days...<br><BR>\n" );
document.write( "(1) A and B together can do the job 30/6 = 5 times;<BR>\n" );
document.write( "(2) B and C together can do the job 30/10 = 3 times; and<BR>\n" );
document.write( "(3) A and C together can do the job 30/7.5 = 4 times<br><BR>\n" );
document.write( "(4) From (2) and (3), A in 30 days can do the job 1 more time than B.<br><BR>\n" );
document.write( "(5) Then, from (1) and (4), in 30 days A can do the job 3 times and B can do it 2 times.<br><BR>\n" );
document.write( "Finally, from (5) and either (2) or (3), in 30 hours C can do the job 1 time.<br><BR>\n" );
document.write( "ANSWER: 30 hours<br><BR>\n" );
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