document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98216>Question 98216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Word Problem:\r<BR>\n" );
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document.write( "If John cleans a house in 8 hours and Julie cleans a similar house in 6 hours, how long should it take them to clean another similar house working together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71408 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=71408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time it takes John and Julie to clean the house working together\r<BR>\n" );
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document.write( "John cleans at the rate of 1/8 house per hour\r<BR>\n" );
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document.write( "Julie cleans at the rate of 1/6 house per hour\r<BR>\n" );
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document.write( "Together, they clean at the rate of (1/8+1/6) house per hour, or\r<BR>\n" );
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document.write( "1/8+1/6 =3/24+4/24= 7/24 house per hour\r<BR>\n" );
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document.write( "Now our equation to solve is:\r<BR>\n" );
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document.write( "(7/24)x=24/24  (note: here 24/24 represents 1 house)\r<BR>\n" );
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document.write( "7x=24  divide both sides by 7\r<BR>\n" );
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document.write( "x=24/7 or 3 3/7 hours\r<BR>\n" );
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document.write( "Hope this helps----ptaylor </SPAN>\n" );
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