document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186461>Question 186461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three brothers, Philip, Rafael and Brian live in a house. Philip can clean the hoouse twice times as fast as Brian. Rafael can clean the house in 8 hours. All three together, can clean the house in 2 hours. How long would it take Brian to clean the house. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139746 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=139746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three brothers, Philip, Rafael and Brian live in a house. <BR>\n" );
document.write( "Philip can clean the house twice times as fast as Brian. <BR>\n" );
document.write( "Rafael can clean the house in 8 hours. <BR>\n" );
document.write( "All three together, can clean the house in 2 hours. <BR>\n" );
document.write( "How long would it take Brian to clean the house.<BR>\n" );
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document.write( "Let Brian time = 2x hr/job ; rate = 1/(2x) job/hr.<BR>\n" );
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document.write( "Then Philip time = x hr/job ; rate = 1/x job/hr.<BR>\n" );
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document.write( "Rafael time = 8 hrs/job ; rate = 1/8 job/hr.<BR>\n" );
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document.write( "Together time = 2 hrs/job ; rate = 1/2 job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate + rate = together rate<BR>\n" );
document.write( "1/2x + 1/x + 1/8 = 1/2\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply thru by 8x to get:<BR>\n" );
document.write( "4 + 8 + x = 4x<BR>\n" );
document.write( "3x = 12<BR>\n" );
document.write( "x = 4 hrs (Philip time to do the job alone)<BR>\n" );
document.write( "2x= 8 hrs (Brian time to do the job alone)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );