document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=570820>Question 570820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alice can vacuum in 40 minutes.  It takes Bob 45 minutes to do the same job.  Find the time it takes Alice and Bob to do the job together </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367820 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=367820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     Alice can vacuum in 40 minutes. It takes Bob 45 minutes to do the same job. Find the time it takes Alice and Bob to do the job together<BR>\n" );
document.write( "Let x = time (minutes) it takes for both<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x(1/40 + 1/45) = 1<BR>\n" );
document.write( "multiplying (40)(45):<BR>\n" );
document.write( "x(45 + 40) = (40)(45)<BR>\n" );
document.write( "x(45 + 40) = 1800<BR>\n" );
document.write( "x(85) = 1800<BR>\n" );
document.write( "x = 1800/85<BR>\n" );
document.write( "x = 21.18 minutes </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );