document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984471>Question 984471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Workman A's rate of doing work is twice that of Workman B's. One day, A & B work together for 8 hrs, then B due to injury stops and A finishes the rest of the job in 2 hrs. How long would it take B to complete 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 #605345 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=605345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Workman A's rate of doing work is twice that of Workman B's.<BR>\n" );
document.write( " One day, A & B work together for 8 hrs, then B due to injury stops and A finishes the rest of the job in 2 hrs.<BR>\n" );
document.write( " How long would it take B to complete the job alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = time required by A to do the job<BR>\n" );
document.write( "He works twice a fast as B, therefore<BR>\n" );
document.write( "let 2a = time required by B to do the same job<BR>\n" );
document.write( "let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A works a total of 10 hrs, B works 8 hrs<BR>\n" );
document.write( "The shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fa ALIGN=MIDDLE  ALT=\"10%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%282a%29 ALIGN=MIDDLE  ALT=\"8%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 2a, cancel the denominators and you have:<BR>\n" );
document.write( "2(10) + 8 = 2a<BR>\n" );
document.write( "20 + 8 = 2a<BR>\n" );
document.write( "28 = 2a<BR>\n" );
document.write( " a = 14 for A to do the job alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2(14) = 28 hrs for B to do the job alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "See if that works out using decimals<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F14 ALIGN=MIDDLE  ALT=\"10%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F28 ALIGN=MIDDLE  ALT=\"8%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ".7143 + .2857 = 1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );