document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478529>Question 478529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i'm having a hard time on solving this problem:\r<BR>\n" );
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document.write( "A group of workers can do a job in 8 days. After this group had worked in 3 days, another group had joined. Together they completed the job in three more days. How long could the second group have done the job alone?\r<BR>\n" );
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document.write( "please help me with this! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327893 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=327893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A group of workers can do a job in 8 days.<BR>\n" );
document.write( " After this group had worked in 3 days, another group had joined.<BR>\n" );
document.write( "Together they completed the job in three more days.<BR>\n" );
document.write( "How long could the second group have done the job alone?<BR>\n" );
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document.write( "Let x = time required by the 2nd group to do the job<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "From the given information, we know that the 1st group worked 6 days & the 2nd group worked 3 days<BR>\n" );
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document.write( "A typical shared work equation, each group does a fraction of the job, <BR>\n" );
document.write( "the two fractions add up to 1.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F8 ALIGN=MIDDLE  ALT=\"6%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fx ALIGN=MIDDLE  ALT=\"3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 8x, results:<BR>\n" );
document.write( "6x + 3(8) = 8x<BR>\n" );
document.write( "24 = 8x - 6x<BR>\n" );
document.write( "24 = 2x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F2 ALIGN=MIDDLE  ALT=\"24%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 12 days for the 2nd group to do the job <BR>\n" );
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document.write( "See if this adds up:<BR>\n" );
document.write( "6/8 + 3/12<BR>\n" );
document.write( "3/4 + 1/4 = 1<BR>\n" );
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document.write( "Did this method make sense to you? </SPAN>\n" );
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