document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=796610>Question 796610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me to solve this problem.\r<BR>\n" );
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document.write( "A father and his son can clean the house together in 4 hours. When the son works alone, it take him an hour longer to clean than it takes his dad alone. find how long it takes the son to clean alone. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481450 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=481450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A father and his son can clean the house together in 4 hours. When the son works alone, it take him an hour longer to clean than it takes his dad alone. find how long it takes the son to clean alone.<BR>\n" );
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document.write( "Together rate: 1/4 job/hr<BR>\n" );
document.write( "Dad's rate: 1/x job/hr<BR>\n" );
document.write( "Son's rate: 1/(x+1) job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x+1) = 1/4<BR>\n" );
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document.write( "4(x+1) + 4x = x(x+1)<BR>\n" );
document.write( "8x + 4 = x^2+x<BR>\n" );
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document.write( "x^2 - 4x -4 = 0<BR>\n" );
document.write( "x = 4.8284 hrs <BR>\n" );
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document.write( "x+1 = 5.8284 hrs (Son's time to do the job alone)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
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