document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754983>Question 754983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A can do a certain job, working alone, in 3.15 hours. Working with B, A can do the same job in 2.09 hours. How long will it take B, working alone, to do the job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459518 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=459518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A can do a certain job, working alone, in 3.15 hours.<BR>\n" );
document.write( " Working with B, A can do the same job in 2.09 hours.<BR>\n" );
document.write( " How long will it take B, working alone, to do the job?<BR>\n" );
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document.write( "Let b = time required by B working alone<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "Each will do a fraction of the job, the two fractions add up to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.09%2F3.15 ALIGN=MIDDLE  ALT=\"2.09%2F3.15\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.09%2Fb ALIGN=MIDDLE  ALT=\"2.09%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "mult by 3.15b to clear the denominators, results:<BR>\n" );
document.write( "2.09b + 3.15(2.09) = 3.15b<BR>\n" );
document.write( "6.5835 = 3.15b - 2.09b<BR>\n" );
document.write( "6.5835 = 1.06b<BR>\n" );
document.write( "b = 6.5835/1.06<BR>\n" );
document.write( "b = 6.21 hrs, B working alone<BR>\n" );
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document.write( "Check on a calc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.09%2F3.15 ALIGN=MIDDLE  ALT=\"2.09%2F3.15\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.09%2F6.21 ALIGN=MIDDLE  ALT=\"2.09%2F6.21\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".6635 + .3365 = 1.00; confirms our solution of b = 6.21 hrs </SPAN>\n" );
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