document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=889518>Question 889518</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They worked together for 3 hours until Homer had to go home. Mike finished the job working by himself in an additional 3 hours. How long would it have taken Homer to fix the deck himself?\r<BR>\n" );
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document.write( "It will take Homer appropriately ___ hours ____ minutes to fix the deck by himself.\r<BR>\n" );
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document.write( "(Round to the nearest minute as needed).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538219 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=538219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They worked together for 3 hours until Homer had to go home. Mike finished the job working by himself in an additional 3 hours. How long would it have taken Homer to fix the deck himself? <BR>\n" );
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document.write( "let x=hours Homer can do the job alone<BR>\n" );
document.write( "1/x=his work rate<BR>\n" );
document.write( "x-1=hours Mike can do the job alone<BR>\n" );
document.write( "1/(x-1)=his work rate<BR>\n" );
document.write( "sum of indv. work rates=work rate working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%2B1%2F%28x-1%29=%28x-1%2Bx%29%2Fx%28x-1%29=%282x-1%29%2Fx%28x-1%29 ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2F%28x-1%29=%28x-1%2Bx%29%2Fx%28x-1%29=%282x-1%29%2Fx%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "3 hrs working together+mike working 3 hrs by himself=100% of the job<BR>\n" );
document.write( "3(2x-1)/x(x-1)+3(x-1)=1<BR>\n" );
document.write( "lcd: x(x-1)<BR>\n" );
document.write( "6x-3+3x=x(x-1)<BR>\n" );
document.write( "6x-3+3x=x^2-x<BR>\n" );
document.write( "x^2-10x+3=0<BR>\n" );
document.write( "solve for x by quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=1, b=-10, c=3<BR>\n" );
document.write( "ans: x&#8776;0.31 (reject)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x&#8776;9.7 <BR>\n" );
document.write( "It will take Homer approximately 9 hours 42 minutes to fix the deck by himself. \r<BR>\n" );
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