document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935751>Question 935751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Worker A finishes the job in 10 hrs; Worker B finishes it in 12 hrs, and worker C finishes it jn 15 hrs. After worker A worked alone for 2 hrs, and then B worked alome for 4 hours, how many hours will it take C alone to finish the remaining 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 #569039 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=569039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = amount of time it takes worker C alone to finish the job\r<BR>\n" );
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document.write( "Worker A works at the rate of 1/10 of the job per hour<BR>\n" );
document.write( "Worker B rate is 1/12 of the job per hour<BR>\n" );
document.write( "Worker C rate is 1/15 of the job per hour<BR>\n" );
document.write( "In 2 hours, worker A finishes (1/10)*2=2/10 = 1/5 of the job<BR>\n" );
document.write( "In 4 hours worker B finishes (1/12)*4=1/3 of the job<BR>\n" );
document.write( "Together A and B have finished 1/5 + 1/3=3/15+5/15=8/15 of the job leaving 7/15 yet to be finished<BR>\n" );
document.write( "So our equation to solve is:<BR>\n" );
document.write( "(1/15)*x=7/15<BR>\n" );
document.write( "x=7 hours<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "(1/10)*2+(1/12)*4+(1/15)*7 should equal 1 job<BR>\n" );
document.write( "Hope this helps---ptaylor<BR>\n" );
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