document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757238>Question 757238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Abel and ben working together can accomplish a task in 6 hrs 40 mins. after working with Ben for 3 hrs. Abel beacame ill and Ben was left alone to finish the job which he did in 8 hrs. and 15 mins. 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 #460712 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=460712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Abel and ben working together can accomplish a task in 6 hrs 40 mins. after working with Ben for 3 hrs. Abel became ill and Ben was left alone to finish the job which he did in 8 hrs. and 15 mins. How long would it take each working alone to do the job?<BR>\n" );
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document.write( "Abel's rate is \"a\" ; Ben's rate is \"b\".\r<BR>\n" );
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document.write( "Together DATA: time = 6 2/3 hrs = 20/3 hrs ; a+b = 3/20 job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "3 hrs together + (33/4)hr for Ben = 1 job done<BR>\n" );
document.write( "3(a+b) + (33/4)b = 1<BR>\n" );
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document.write( "3(3/20) + (33/4)b = 1<BR>\n" );
document.write( "Multiply thru by 20 to get:<BR>\n" );
document.write( "9 + 165b = 20<BR>\n" );
document.write( "165b = 11<BR>\n" );
document.write( "b = 1/15 job/hr (Ben's rate)<BR>\n" );
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document.write( "Time for Ben to do the job alone: 15 hrs/job<BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "a + b = 3/20<BR>\n" );
document.write( "a + 1/15 = 3/20<BR>\n" );
document.write( "a = 3/20 - 1/15 = (45-20)/300 = 25/300 = 1/12 job/hr<BR>\n" );
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document.write( "Abel's time to do the job alone = 12 hr/job<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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