document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66887>Question 66887</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man can do a job in 9 days and his son can do the same job in 16 days. They start working together. After 4 days, the son leaves and the father finishes the job alone. How many days did it take the man to finish the job alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47545 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=47545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man can do a job in 9 days and his son can do the same job in 16 days. They start working together. After 4 days, the son leaves and the father finishes the job alone. How many days did it take the man to finish the job alone?\r<BR>\n" );
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document.write( "The man can do 1/9 of the job per day<BR>\n" );
document.write( "The boy can do 1/16 of the job per day\r<BR>\n" );
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document.write( "Both working together, they can do 1/9+1/16 of the job per day which equals:\r<BR>\n" );
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document.write( "1/9+1/16----LCM is 144\r<BR>\n" );
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document.write( "(16+9)/144=25/144<BR>\n" );
document.write( "Both working together they can do 25/144 of the job per day\r<BR>\n" );
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document.write( "In 4 days they will have done 4(25/144) of the job<BR>\n" );
document.write( "4/(25/144)=25/36 of the job<BR>\n" );
document.write( "36/36-25/36 =11/36  the amount of the job remaining afer 4 days\r<BR>\n" );
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document.write( "The man can do 1/9 (or 4/36) of the job per day and there's 11/36 of the job left\r<BR>\n" );
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document.write( "So it will take the man working alone  (11/36)/(4/36) days to finish\r<BR>\n" );
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document.write( "(11/36)/(4/36)=(11/36)(36/4)=11/4 =2.75 days\r<BR>\n" );
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document.write( "So it will take the man working alone 2.75 days to finish\r<BR>\n" );
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document.write( "This looks like it, unless I goofed somewhere.\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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