document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279072>Question 279072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> carmen can weed the garden in 24min. if kim helps they can finish in 8 min. how long would it take kim working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202974 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=202974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For jobs like this, look at it terms of the whole job being a unitary thing.<BR>\n" );
document.write( "Carmen can do the job in 24 minutes, so she does the job at a rate of 1/24 of the total job per minute.<BR>\n" );
document.write( "Carmen and Kim working together can do the job in 8 minutes, so their combined rate is 1/8 per minute.<BR>\n" );
document.write( "Algebraically, their combined speeds can be shown as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F24+%2B+1%2Fx+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+1%2F24+%2B+1%2Fx+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying through by 24x we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+24+=+24x%2F8+=+3x ALIGN=MIDDLE  ALT=\"x+%2B+24+=+24x%2F8+=+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+2x ALIGN=MIDDLE  ALT=\"24+=+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+24 ALIGN=MIDDLE  ALT=\"2x+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dividing both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12 ALIGN=MIDDLE  ALT=\"x+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Kim can do the job in 12 minutes working alone.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Checking our work, we were told that combined they did the job in 8 minutes.<BR>\n" );
document.write( "In 8 minutes, Carmen can do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A%281%2F24%29+=+8%2F24+=+1%2F3 ALIGN=MIDDLE  ALT=\"8%2A%281%2F24%29+=+8%2F24+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job.<BR>\n" );
document.write( "In 8 minutes, Kim can do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A%281%2F12%29+=+8%2F12+=+2%2F3 ALIGN=MIDDLE  ALT=\"8%2A%281%2F12%29+=+8%2F12+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job.<BR>\n" );
document.write( "1/3 + 2/3 = 1 job.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );