document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685057>Question 685057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alice can vacum 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 #424316 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = amount of time it takes both working together to vacuum the job<BR>\n" );
document.write( "Alice vacuums at the rate of 1/40 of the job per min<BR>\n" );
document.write( "Bob vacuums at the rate of 1/45 of the job per min<BR>\n" );
document.write( "Together they vacuum at the rate of 1/40 + 1/45=9/360 + 8/360=17/360 of the job per min<BR>\n" );
document.write( "Soooooo<BR>\n" );
document.write( "(17/360)*x=1 (one vacuum job, that is)<BR>\n" );
document.write( "x=360/17=~~~~~21.2 min<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "In 360/17 min, Alice vacuums (1/40)*(360/17)=9/17 of the job<BR>\n" );
document.write( "In 360/17 min Bob vacuums (1/45)*(360/17)=8/17 of the job<BR>\n" );
document.write( "9/17 + 8/17=17/17=the job\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps--ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );