document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=674178>Question 674178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom can clean the living room in 45 minutes. Wally can clean it in 30 minutes. If both start cleaning and 5 minutes later, their sister Gigi joins them, taking them 7 minutes more to finish. How long would it take Gigi to clean the living room alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419187 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=419187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tom can clean the living room in 45 minutes.<BR>\n" );
document.write( " Wally can clean it in 30 minutes. <BR>\n" );
document.write( "If both start cleaning and 5 minutes later, their sister Gigi joins them, taking<BR>\n" );
document.write( " them 7 minutes more to finish.<BR>\n" );
document.write( " How long would it take Gigi to clean the living room alone?<BR>\n" );
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document.write( "let g = Gigi's time to do the job alone (in minutes)<BR>\n" );
document.write( "let the completed job = 1 (a spotless living room)<BR>\n" );
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document.write( "A shared work equation. (T and W worked a total of 5+7 = 12 minutes)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F45 ALIGN=MIDDLE  ALT=\"12%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F30 ALIGN=MIDDLE  ALT=\"12%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Fg ALIGN=MIDDLE  ALT=\"7%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 90g to clear the denominators, cancel and you have:<BR>\n" );
document.write( "2g(12) + 3g(12) + 90(7) = 90g<BR>\n" );
document.write( "24g + 36g + 630 = 90g<BR>\n" );
document.write( "630 = 90g - 60g<BR>\n" );
document.write( "630 = 30g<BR>\n" );
document.write( "g = 630/30<BR>\n" );
document.write( "g = 21 minutes, GG working alone<BR>\n" );
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document.write( "See if that checks out using a calc<BR>\n" );
document.write( "12/45 + 12/30 + 7/21 = <BR>\n" );
document.write( ".267 + .400 + .333 = 1, confirms our solution of 21 minutes<BR>\n" );
document.write( " </SPAN>\n" );
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