document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965418>Question 965418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> working together john and bob can paint a house in 3 1/2 hours. working alone bob can do the job in 6 hours. how long does it take for john to do the job alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590109 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=590109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> working together john and bob can paint a house in 3 1/2 hours. working alone bob can do the job in 6 hours. how long does it take for john to do the job alone?<BR>\n" );
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document.write( "let x=hours john can do the job alone<BR>\n" );
document.write( "1/x=his work rate<BR>\n" );
document.write( "1/6=bob's work rate<BR>\n" );
document.write( "1/3.5=work rate working together<BR>\n" );
document.write( "sum of indv. work rates=work rate working together<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1/x+1/6=1/3.5<BR>\n" );
document.write( "1/x=1/3.5-1/6<BR>\n" );
document.write( "lcd:6*3.5*x=21x<BR>\n" );
document.write( "21=6x-3.5x<BR>\n" );
document.write( "2.5x=21<BR>\n" );
document.write( "x=8.4<BR>\n" );
document.write( " how long does it take for john to do the job alone? 8.4 hrs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );