document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767617>Question 767617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Aris can paint a room in 5 ½ hours. His brother can do the same job in 7 ½ hours. How long will it take them to paint the room together?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467867 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=467867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Aris can paint a room in 5 ½ hours.<BR>\n" );
document.write( " His brother can do the same job in 7 ½ hours.<BR>\n" );
document.write( " How long will it take them to paint the room together?<BR>\n" );
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document.write( "Let t = time required when working together<BR>\n" );
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document.write( "Let the completed job = 1, each will do a fraction of the job,<BR>\n" );
document.write( "the two fractions add up to one<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F5.5 ALIGN=MIDDLE  ALT=\"t%2F5.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F7.5 ALIGN=MIDDLE  ALT=\"t%2F7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 55*75, 4125; Gets rid of the decimals and the denominators, results:<BR>\n" );
document.write( "750t + 550t = 4125<BR>\n" );
document.write( "1300t = 4125<BR>\n" );
document.write( "t = 4125/1300<BR>\n" );
document.write( "t = 3.173 hrs,working together<BR>\n" );
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document.write( "Check this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.173%2F5.5 ALIGN=MIDDLE  ALT=\"3.173%2F5.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.173%2F7.5 ALIGN=MIDDLE  ALT=\"3.173%2F7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".577 + .423 = 1; confirms our solution<BR>\n" );
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