document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451900>Question 451900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When Amos and Bert do a certain job, it takes 13 and 19/23 hours. WHen Bert and Clyde do it, it takes 13 and 1/5 hours. When Amos and Clyde do it, it takes 17 and 5/23 hours. How long does it take each brother to do it alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310693 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When Amos and Bert do a certain job, it takes 13 and 19/23 hours.<BR>\n" );
document.write( "A + B + 0 = 23/318<BR>\n" );
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document.write( "WHen Bert and Clyde do it, it takes 13 and 1/5 hours.<BR>\n" );
document.write( "0 + B + C = 5/66<BR>\n" );
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document.write( "When Amos and Clyde do it, it takes 17 and 5/23 hours.<BR>\n" );
document.write( "A + 0 + C = 23/396<BR>\n" );
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document.write( "How long does it take each brother to do it alone?<BR>\n" );
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document.write( "Solve the system of three equations to get each person's work rate:<BR>\n" );
document.write( "A rate = 0.027325; Then A's time to do the job = 1/0.027325 ~ 36.6 hrs <BR>\n" );
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document.write( "B rate = 0.045002; Then B's time to do the job = 1/0.045002 ~ 22.22 hrs <BR>\n" );
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document.write( "C rate = 0.030756; Then C' time to do the job = 1/0.030756 ~ 32.51 hrs<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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