document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241563>Question 241563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Joey 10 hours to clean his room. It takes his mother 5 hours to clean his room. If Joey starts cleaning at 1pm and his mother starts helping at 2pm, at what time will joeys room be clean? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176912 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=176912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> joey takes 10 hours to clean his room which means that he can clean 1/10 of the room in 1 hour.<BR>\n" );
document.write( "joey's mom takes 5 hours to clean his room which means that she can clean 1/5 of the room in 1 hour.<BR>\n" );
document.write( "J = rate that joey takes per hour to clean his room = 1/10<BR>\n" );
document.write( "M = rate that joey's mom takes per hour to clean his room = 1/5<BR>\n" );
document.write( "C = their combined rate = (1/10 + 1/5) = 3/10 of the room in one hour.<BR>\n" );
document.write( "The unit to be cleaned is a room.<BR>\n" );
document.write( "The number of units to be cleaned is 1.\r<BR>\n" );
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document.write( "joey cleans for 1 hours so he has cleaned 1/10 * 1 = 1/10 of the room.\r<BR>\n" );
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document.write( "this leaves 9/10 of the room to be cleaned.\r<BR>\n" );
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document.write( "joey and his mother working together can clean 3/10 of the room in 1 hour.\r<BR>\n" );
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document.write( "since 9/10 of the room remain to be cleaned, this means that they will have the rest of the room cleaned in 3 hours.\r<BR>\n" );
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document.write( "1 * (1/10) + 3 * (3/10) = 1/10 + 9/10 = 1\r<BR>\n" );
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document.write( "basic formula used is R*T = U\r<BR>\n" );
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document.write( "this means that the Rate * Time = the number of units cleaned.\r<BR>\n" );
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document.write( "Rate is given in number of units per hour.<BR>\n" );
document.write( "Time is given in number of hours.<BR>\n" );
document.write( "Units is given in number of rooms to be cleaned.\r<BR>\n" );
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document.write( "the application of this formula is what solves the problem.\r<BR>\n" );
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