document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103960>Question 103960</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary, Sue and Bill work at a motel. If each worked alone, it would take Mary 10 hours, Sue 8 hours, and Bill 12 hours to clean the whole motel. One day Mary come to work early and she had cleaned for two hours when Sue and Bill arrived and three finished the job. How long did they take to finish.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75653 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=75653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mary, Sue and Bill work at a motel. If each worked alone, it would take Mary 10 hours, Sue 8 hours, and Bill 12 hours to clean the whole motel. One day Mary come to work early and she had cleaned for two hours when Sue and Bill arrived and three finished the job. How long did they take to finish.?<BR>\n" );
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document.write( "Let t = time it took the 3 of them to finish the job<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "M came early so she did <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F10 ALIGN=MIDDLE  ALT=\"2%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the competed job:<BR>\n" );
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document.write( "M alone + three together = completed job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F10 ALIGN=MIDDLE  ALT=\"2%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F10 ALIGN=MIDDLE  ALT=\"t%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8 ALIGN=MIDDLE  ALT=\"t%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F12 ALIGN=MIDDLE  ALT=\"t%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by a common denominator, 120 would work:<BR>\n" );
document.write( "120*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F10 ALIGN=MIDDLE  ALT=\"2%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 120*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F10 ALIGN=MIDDLE  ALT=\"t%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 120*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8 ALIGN=MIDDLE  ALT=\"t%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 120*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F12 ALIGN=MIDDLE  ALT=\"t%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 120(1)<BR>\n" );
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document.write( "Cancel out the denominators and you have:<BR>\n" );
document.write( "12(2) + 12t + 15t + 10t = 120<BR>\n" );
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document.write( "24 + 37t = 120<BR>\n" );
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document.write( "37t = 120 - 24<BR>\n" );
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document.write( "t = 96/37<BR>\n" );
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document.write( "t = 2.6 hrs for the 3 to finish the job<BR>\n" );
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document.write( "Check solution on a calc:<BR>\n" );
document.write( "M worked 2 + 2.6 = 4.6 hrs:<BR>\n" );
document.write( "Mary + Sue + Bill = completed job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.6%2F10+%2B+2.6%2F8+%2B+2.6%2F12 ALIGN=MIDDLE  ALT=\"4.6%2F10+%2B+2.6%2F8+%2B+2.6%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.00 hrs, confirms our solution<BR>\n" );
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document.write( "Did this make some sense to you? Any questions? </SPAN>\n" );
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