document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945152>Question 945152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a group of college students are volunteering for help the homeless during spring break. They are putting the finishing touches on a house they built. Working alone, irina can paint a certain room in 7 hours. Paulo can paint the same room in 6 hours. write an equation that can be used to find how long it will take them working together to paint the room.  how many hours will it take them to paint the room? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576499 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=576499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working alone, Irina can paint a certain room in 7 hours.<BR>\n" );
document.write( " Paulo can paint the same room in 6 hours.<BR>\n" );
document.write( " write an equation that can be used to find how long it will take them working together to paint the room.<BR>\n" );
document.write( " how many hours will it take them to paint the room?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let t = time required when they work together<BR>\n" );
document.write( "let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Each will do a fraction of the job, the two fractions add up to 1<BR>\n" );
document.write( "<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;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply the equation by the least common multiple of 7&6, 42<BR>\n" );
document.write( "42*<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;\" > + 42*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1*42<BR>\n" );
document.write( "cancel the denominators<BR>\n" );
document.write( "6t + 7t = 42<BR>\n" );
document.write( "13t = 42<BR>\n" );
document.write( "t = 42/13<BR>\n" );
document.write( "d = 3.23 hrs, which is: 3 + .23(60) = 3 hrs 14 minutes<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "I'd give the paint and brushes to homeless and let them do it! </SPAN>\n" );
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