document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523218>Question 523218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alexandra and Frank can assemble a King Kong swingset working together in 6 hours. One day, when Frank called in sick, Alexandra was able to assemble a King Kong swingset in 10 hours. How long would it take Frank to assemble a King Kong swingset if he worked by himself? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347246 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=347246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Alexandra and Frank can assemble a King Kong swingset working together in 6 hours. One day, when Frank called in sick, Alexandra was able to assemble a King Kong swingset in 10 hours. How long would it take Frank to assemble a King Kong swingset if he worked by himself?<BR>\n" );
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document.write( "x=hours Frank would take to assemble the swing set by himself<BR>\n" );
document.write( "1/x=Frank's work rate<BR>\n" );
document.write( "1/10=Alexandra's work rate<BR>\n" );
document.write( "1/6=work rate when both working together<BR>\n" );
document.write( "sum of individual work rates=work rate when working together<BR>\n" );
document.write( "1/x+1/10=1/6<BR>\n" );
document.write( "LCD:30x<BR>\n" );
document.write( "30+3x=5x<BR>\n" );
document.write( "2x=30<BR>\n" );
document.write( "x=15<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "hours Frank would take to assemble the swing set by himself=15 </SPAN>\n" );
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