document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685734>Question 685734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B working together can finish a certain job in 20/3 hours. They start the work together but after 3 hours, A became ill and B continuing the work alone finished it in 33/4 hours. How long would it take each working alone to do 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 #424553 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=424553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A and B working together can finish a certain job in 20/3 hours. They start the work together but after 3 hours, A became ill and B continuing the work alone finished it in 33/4 hours. How long would it take each working alone to do the job.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Let a and b be their respective rates:<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "a + b = (3/20) job/hr<BR>\n" );
document.write( "3a + (3+(33/4))b = 1 job/hr<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "3a + 3b = (9/20)<BR>\n" );
document.write( "3a + (45/4)b = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Subtract and solve for \"b\":<BR>\n" );
document.write( "(33/4)b = 11/20<BR>\n" );
document.write( "b = (11/20)(4/33) = (1/15)<BR>\n" );
document.write( "B would take 15 hours to do the job alone<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Solve for \"a\" using a + b = 3/20<BR>\n" );
document.write( "a + 1/15 = 3/20<BR>\n" );
document.write( "--<BR>\n" );
document.write( "a = (3/20)-(1/15)<BR>\n" );
document.write( "a = (9-4)/60 = 1/12<BR>\n" );
document.write( "---<BR>\n" );
document.write( "A would take 12 hours to do the job alone<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );