document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203099>Question 203099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lee can frame a cabin in 4 days less than Ron. When they work together, they will do the job in 4 and 4/5 days.  How long would each of them take to frame the cabin alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153265 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=153265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lee can frame a cabin in 4 days less than Ron.<BR>\n" );
document.write( " When they work together, they will do the job in 4 and 4/5 days.<BR>\n" );
document.write( " How long would each of them take to frame the cabin<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Change 4<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to 4.8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required by Lee to do the job<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+4) = time required by Ron<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.8%2Ft ALIGN=MIDDLE  ALT=\"4.8%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.8%2F%28%28t%2B4%29%29 ALIGN=MIDDLE  ALT=\"4.8%2F%28%28t%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by t(t+4) to get rid of the denominators, results:<BR>\n" );
document.write( "4.8(t+4) + 4.8t = t(t+4)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4.8t + 19.2 + 4.8t = t^2 + 4t <BR>\n" );
document.write( ":<BR>\n" );
document.write( "9.6t + 19.2 = t^2 + 4t<BR>\n" );
document.write( ":<BR>\n" );
document.write( "0 = t^2 + 4t - 9.6t - 19.2<BR>\n" );
document.write( "a quadratic equation<BR>\n" );
document.write( "t^2 - 5.6t - 19.2 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the 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( "In this problem: x=t; a=1; b=-5.6; c=-19.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-%28-5.6%29+%2B-+sqrt%28-4.6%5E2+-+4+%2A+1%2A-19.2+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-%28-5.6%29+%2B-+sqrt%28-4.6%5E2+-+4+%2A+1%2A-19.2+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%285.6+%2B-+sqrt%2831.36+-+%28-76.8%29+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"t+=+%285.6+%2B-+sqrt%2831.36+-+%28-76.8%29+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%285.6+%2B-+sqrt%2831.36+%2B+76.8+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"t+=+%285.6+%2B-+sqrt%2831.36+%2B+76.8+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%285.6+%2B-+sqrt%28108.16%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"t+=+%285.6+%2B-+sqrt%28108.16%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%285.6+%2B+10.4%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"t+=+%285.6+%2B+10.4%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F2 ALIGN=MIDDLE  ALT=\"16%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 8 days, Lee working alone<BR>\n" );
document.write( "and<BR>\n" );
document.write( "8 + 4 = 12 days, Ron alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in original work equation<BR>\n" );
document.write( "4.8/8 + 4.8/12 = <BR>\n" );
document.write( ".6 + .4 =  1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );