document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366864>Question 366864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dal and Kim can assemble a swing set in 1 and 1/2 hours. Working alone it takes Kim 4 hours longer than Dal to assemble the swing set. How long would it take Dal, working alone, to assemble the swing set? I have tried everything I could to solve this one and haven't had any luck. I would appreciate anyone's help! Thank you for your time!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261528 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=261528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time it takes Dal to assemble the swing set, working alone<BR>\n" );
document.write( "Then Dal works at the rate of 1/x swing set per hour<BR>\n" );
document.write( "We are told that it takes Kim 4 hours longer than Dal, so it must take Kim x+4 hours to assemble the set<BR>\n" );
document.write( "Then Kim works at the rate of 1/(x+4) swing set per hour<BR>\n" );
document.write( "We are also told that Dal and Kim work at the rate of 1/(1.5) swing set per hour<BR>\n" );
document.write( "Then our equation to solve is:<BR>\n" );
document.write( "1/x + 1/(x+4)=1/(1.5) Multiply each term by 1.5(x)(x+4)<BR>\n" );
document.write( "1.5(x+4)+1.5x=x(x+4) get rid of parens<BR>\n" );
document.write( "1.5x+6+1.5x=x^2+4x simplify<BR>\n" );
document.write( "x^2+x-6=0-----quadratic in standard form and it can be factored:<BR>\n" );
document.write( "(x+3)(x-2)=0<BR>\n" );
document.write( "x=2 hrs-------ANS--Time it takes Dal working alone<BR>\n" );
document.write( "x=-3  NO!  time in this prob is positive\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "In 1.5 hours, Kim completes (1/6)(1.5)=(1.5)/6 of the swing set<BR>\n" );
document.write( "In 1.5 hours, Dal completes (1/2)(1.5)=(1.5)/2 of the swing set<BR>\n" );
document.write( "(1.5)/6+(4.5)/6=6/6=1 (swing set, that is)\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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