document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008201>Question 1008201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ryan can paint a room in 8 hours when working alone. if stephanie helps him, the total job takes 6 hours. how long does it take stephanie if she works alone </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623968 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=623968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let<BR>\n" );
document.write( "x = time it takes for Ryan to do the job alone<BR>\n" );
document.write( "y = time it takes for Stephanie to do the job alone<BR>\n" );
document.write( "z = time it takes if they worked together\r<BR>\n" );
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document.write( "In this case,<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "y = unknown<BR>\n" );
document.write( "z = 6\r<BR>\n" );
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document.write( "x,y,z are time values in hours\r<BR>\n" );
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document.write( "We'll use this formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx+%2B+1%2Fy+=+1%2Fz ALIGN=MIDDLE  ALT=\"1%2Fx+%2B+1%2Fy+=+1%2Fz\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and solve for y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx+%2B+1%2Fy+=+1%2Fz ALIGN=MIDDLE  ALT=\"1%2Fx+%2B+1%2Fy+=+1%2Fz\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8+%2B+1%2Fy+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2F8+%2B+1%2Fy+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8+%2B+1%2Fy-1%2F8+=+1%2F6-1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8+%2B+1%2Fy-1%2F8+=+1%2F6-1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1/8 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy=+1%2F6-1%2F8 ALIGN=MIDDLE  ALT=\"1%2Fy=+1%2F6-1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy=+4%2F24-3%2F24 ALIGN=MIDDLE  ALT=\"1%2Fy=+4%2F24-3%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Get the denominators equal to the LCD 24\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy=+1%2F24 ALIGN=MIDDLE  ALT=\"1%2Fy=+1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F1=+24%2F1 ALIGN=MIDDLE  ALT=\"y%2F1=+24%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the reciprocal of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+24 ALIGN=MIDDLE  ALT=\"y=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It will take Stephanie 24 hours to do the job if she did the job alone. </SPAN>\n" );
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