document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=579436>Question 579436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A takes 10 days less than the time B to complete a work. If both A and B together can finish the work in 12 days, find the time taken by B to finish 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 #371018 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=371018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A takes 10 days less than the time B to complete a work.<BR>\n" );
document.write( " If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let b = time for B to complete the work<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(b-10) = time for A to do it<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A typical shared work equation<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fb ALIGN=MIDDLE  ALT=\"12%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28%28b-10%29%29 ALIGN=MIDDLE  ALT=\"12%2F%28%28b-10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by b(b-10)<BR>\n" );
document.write( "b(b-10)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fb ALIGN=MIDDLE  ALT=\"12%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + b(b-10)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28%28b-10%29%29 ALIGN=MIDDLE  ALT=\"12%2F%28%28b-10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = b(b-10)<BR>\n" );
document.write( "Cancel the denominators<BR>\n" );
document.write( "12(b-10) + 12b = b^2 - 10b<BR>\n" );
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document.write( "12b - 120 + 12b = b^2 - 10b<BR>\n" );
document.write( "Combine like terms on the right<BR>\n" );
document.write( "0 = b^2 -10b - 24b + 120 <BR>\n" );
document.write( "b^2 - 34b + 120 = 0<BR>\n" );
document.write( "this will factor to<BR>\n" );
document.write( "(b-30)(b-4) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "b = 4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "b = 30 days, this is the only reasonable answer<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if checks out<BR>\n" );
document.write( "12/30 + 12/20 -<BR>\n" );
document.write( ".4 + .6 = 1, confirms our solution of b = 30 days </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );