document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97176>Question 97176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Doy and his son can do a job in 4 1/2 days. After that they have worked for 3 days, Doy got sick and his son finished the work in 6 more days. How many days are required for each of them to do the work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70846 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=70846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Doy and his son can do a job in 4 1/2 days. After that they have worked for 3 days, Doy got sick and his son finished the work in 6 more days. How many days are required for each of them to do the work?\r<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "Let S = sons time alone<BR>\n" );
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document.write( "Let D = Doy's time alone<BR>\n" );
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document.write( "Working together for 3 days they would have completed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4.5 ALIGN=MIDDLE  ALT=\"3%2F4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job<BR>\n" );
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document.write( "The boy worked alone for 6 days so he completed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FS ALIGN=MIDDLE  ALT=\"6%2FS\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job<BR>\n" );
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document.write( "Find S<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4.5 ALIGN=MIDDLE  ALT=\"3%2F4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FS ALIGN=MIDDLE  ALT=\"6%2FS\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 4.5S to get rid of the denominators, resulting in:<BR>\n" );
document.write( "3s + 4.5(6) = 4.5s<BR>\n" );
document.write( "3s + 27 = 4.5s<BR>\n" );
document.write( "27 = 4.5s - 3s<BR>\n" );
document.write( "1.5s = 27<BR>\n" );
document.write( "s = 17/1.5<BR>\n" );
document.write( "s = 18 days to complete the job, the son working alone<BR>\n" );
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document.write( "Find the time required by Doy working alone, using the \"working together: equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%2FD ALIGN=MIDDLE  ALT=\"4.5%2FD\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%2F18 ALIGN=MIDDLE  ALT=\"4.5%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 18D to get rid of the denominators, results:<BR>\n" );
document.write( "4.5(18) + 4.5D = 18D<BR>\n" );
document.write( "81 + 4.5D  = 18D<BR>\n" );
document.write( "81 = 18D - 4.5D<BR>\n" );
document.write( "13.5D = 81<BR>\n" );
document.write( "D = 81/13.5<BR>\n" );
document.write( "D = 6 days to complete the job, Doy working alone<BR>\n" );
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document.write( "Did this make sense to you?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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