document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63092>Question 63092</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/020174631x/algebrahomeworkh>introductory algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Deirdre, Tara, and Caitlin can complete a certain job in 5 days. Deirdre can do the job alone in 12 days. Tara can do the job alone in 10 days. How many days would it take Caitlin alone to complete the job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43920 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=43920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Deirdre, Tara, and Caitlin can complete a certain job in 5 days. Deirdre can do the job alone in 12 days. Tara can do the job alone in 10 days. How many days would it take Caitlin alone to complete the job?<BR>\n" );
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document.write( "Let the completed job = 1:<BR>\n" );
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document.write( "Let x = C\"s time alone<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F12+%2B+5%2F10+%2B+5%2Fx ALIGN=MIDDLE  ALT=\"5%2F12+%2B+5%2F10+%2B+5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "You can tell by the value of the 1st two fractions that C' contribution to the job will not be much:<BR>\n" );
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document.write( "Mult eq by a common denominator; 60x would be a good one, resulting in<BR>\n" );
document.write( "5x(5) + 6x(5) + 60(5) = 60x<BR>\n" );
document.write( "25x + 30x + 300 = 60x<BR>\n" );
document.write( "25x + 30x - 60x = - 300<BR>\n" );
document.write( "-5x = -300<BR>\n" );
document.write( "x = -300/-5<BR>\n" );
document.write( "x = 60 hrs for C to do the job by herself!!<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F12+%2B+5%2F10+%2B+5%2F60 ALIGN=MIDDLE  ALT=\"5%2F12+%2B+5%2F10+%2B+5%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1\r<BR>\n" );
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document.write( " </SPAN>\n" );
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