document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388900>Question 388900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes josh 2/3 as long as it takes beth to paint a wall. if together josh and beth would take 12 hours, how long would it take beth to do the work alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275306 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=275306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes josh 2/3 as long as it takes beth to paint a wall. if together josh and beth would take 12 hours, how long would it take beth to do the work alone?<BR>\n" );
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document.write( "Let Beth time be \"x\"; her rate is 1/x job/hr<BR>\n" );
document.write( "Then Josh time is (2x)/3 ; his rate is 3/(2x) job/hr<BR>\n" );
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document.write( "Together time = 12 hrs; their rate = 1/12 job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 3/(2x) = 1/12<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply thru by 12x:<BR>\n" );
document.write( "12 + 18 = x<BR>\n" );
document.write( "x = 30 hrs: Beth's time to do the job.<BR>\n" );
document.write( "(2/3)x = 20 hrs; Josh's time to do the job.<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );