document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=727857>Question 727857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"It takes Beverly 4 hours to clean a room. If Steve worked together with her, it would take only 48 minutes for the room to be cleaned. How long would it take Steve to clean the room by himself?\"\r<BR>\n" );
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document.write( "I honestly have no idea how to figure this out.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445212 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=445212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Beverly's and Steve's rates are added by addition when they work together to clean the room.  Use rates in the form of JOB PER HOUR, not as how many hours per job.  The rates should be easier to handle as jobs per hour.  \r<BR>\n" );
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document.write( "If I stop this help here, can you figure how to solve the problem now, or should I continue?\r<BR>\n" );
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document.write( "CONTINUING\r<BR>\n" );
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document.write( "To take care of the 48 minutes datum, this is 80% of an hour, or 4/5 of an hour.\r<BR>\n" );
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document.write( "Beverley's rate = 1/4 jobs per hour<BR>\n" );
document.write( "Steve's rate = r jobs per hour (we do not yet know his rate)<BR>\n" );
document.write( "Beverley plus Steve rate = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%284%2F5%29=5%2F4 ALIGN=MIDDLE  ALT=\"1%2F%284%2F5%29=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per hour\r<BR>\n" );
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document.write( "Their rates are additive while they work together.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4%2Br=5%2F4 ALIGN=MIDDLE  ALT=\"1%2F4%2Br=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we must solve for r;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5%2F4-1%2F4 ALIGN=MIDDLE  ALT=\"r=5%2F4-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=4%2F4 ALIGN=MIDDLE  ALT=\"r=4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=1 ALIGN=MIDDLE  ALT=\"r=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  as jobs per hour\r<BR>\n" );
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document.write( "Steve cleaning the room alone, does the job in 1 hour.  One job per hour, and reciprocal would be one hour per job.\r<BR>\n" );
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