document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=517488>Question 517488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bill can paint a house in 5 days and Samantha can paint the same house in 7 days. How long will it take them, working together, to paint the house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344886 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=344886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bill can paint a house in 5 days and Samantha can paint the same house in 7 days.<BR>\n" );
document.write( " How long will it take them, working together, to paint the house?<BR>\n" );
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document.write( "Let t = time required when they work together<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "A typical shared work equation.<BR>\n" );
document.write( "Each will do a fraction of the work, the two fractions must add up to 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F5 ALIGN=MIDDLE  ALT=\"t%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F7 ALIGN=MIDDLE  ALT=\"t%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 35 to clear the denominators, results<BR>\n" );
document.write( "7t + 5t = 35<BR>\n" );
document.write( "12t = 35<BR>\n" );
document.write( "t = 35/12<BR>\n" );
document.write( "t = 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F12 ALIGN=MIDDLE  ALT=\"11%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~ 2.9167 days working together,  </SPAN>\n" );
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