document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=865692>Question 865692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am having a hard time with setting up and solving this problem:\r<BR>\n" );
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document.write( "Dal and Kim can assemble a swing set in 1.5 hr.  Working alone, it takes Kim 4 hr longer than Dal to assemble the swing set.  How long would it take Dal, working alone, to assemble the swing set?\r<BR>\n" );
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document.write( "Thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521812 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=521812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Dal and Kim can assemble a swing set in 1.5 hr. Working alone, it takes Kim 4 hr longer than Dal to assemble the swing set. How long would it take Dal, working alone, to assemble the swing set?<BR>\n" );
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document.write( "let x=time it takes Dal  to assemble the swing set working alone.<BR>\n" );
document.write( "1/x=his work rate<BR>\n" );
document.write( "x+4=time it takes Dal  to assemble the swing set working alone.<BR>\n" );
document.write( "1/(x+4)=his work rate<BR>\n" );
document.write( "1.5=time it takes Dal and Kim to assemble the swing set working together.<BR>\n" );
document.write( "1/1.5=their work rate<BR>\n" );
document.write( "sum of individual work rates=work rate working together<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%2B1%2F%28x%2B4%29=1%2F1.5 ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2F%28x%2B4%29=1%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "LCD:x(x+4)<BR>\n" );
document.write( "x+4+x=x(x+4)/1.5<BR>\n" );
document.write( "2x+4=(x^2+4x)/1.5<BR>\n" );
document.write( "3x+6=x^2+4x<BR>\n" );
document.write( "x^2+x-6=0<BR>\n" );
document.write( "(x+3)(x-2)=0<BR>\n" );
document.write( "x=-3 (reject, x>0)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "How long would it take Dal, working alone, to assemble the swing set? 2 hrs<BR>\n" );
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