document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138723>Question 138723</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073312682/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> It takes a child 3 times longer to vacuum a house than an adult.  If it takes one hour for 1 adult and 1 child working together to vacuum a house how long would it take each person working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101220 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=101220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes a child 3 times longer to vacuum a house than an adult.  If it takes one hour for 1 adult and 1 child working together to vacuum a house how long would it take each person working alone?<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Child DATA:<BR>\n" );
document.write( "Time = 3x hrs/job ; Rate = 1/3x job/hr.\r<BR>\n" );
document.write( "\n" );
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document.write( "Adult DATA:<BR>\n" );
document.write( "Time = x hrs/job ; Rate = 1/x job/hr\r<BR>\n" );
document.write( "\n" );
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document.write( "Together DATA:<BR>\n" );
document.write( "Time = 1 hr/job Rate = 1 job/hr<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/3x + 1/x = 1<BR>\n" );
document.write( "1 + 3 = 3x<BR>\n" );
document.write( "3x = 4 hrs. (amount of time the child would require to do the job alone)<BR>\n" );
document.write( "x = 4/3 hr. (amount of time the adult would require to do the job alone)<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );