document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=750637>Question 750637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A roofer requires 8 h to shingle a roof. After the roofer and an apprentice work on a roof for 2 h, the roofer moves on to another job. The apprentice requires 16 more hours to finish the job. How long would it take the apprentice, 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 #456923 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=456923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A roofer requires 8 h to shingle a roof.<BR>\n" );
document.write( " After the roofer and an apprentice work on a roof for 2 h, the roofer moves on to another job.<BR>\n" );
document.write( " The apprentice requires 16 more hours to finish the job.<BR>\n" );
document.write( " How long would it take the apprentice, working alone, to do the job<BR>\n" );
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document.write( "let a = time required by the apprentice to do the job alone<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "A typical shared work equation<BR>\n" );
document.write( "Each will do a fraction of the job, the two fractions have to add up to 1<BR>\n" );
document.write( "The apprentice worked a total 18 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F8 ALIGN=MIDDLE  ALT=\"2%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Fa ALIGN=MIDDLE  ALT=\"18%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "mult eq by 8a, cancel the denominators and you have<BR>\n" );
document.write( "2a + 8(18) = 8a<BR>\n" );
document.write( "144 = 8a - 2a<BR>\n" );
document.write( "144 = 6a<BR>\n" );
document.write( "a = 144/6<BR>\n" );
document.write( "a = 24 hrs for the apprentice alone<BR>\n" );
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document.write( "Check this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F8 ALIGN=MIDDLE  ALT=\"2%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F24 ALIGN=MIDDLE  ALT=\"18%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".25 + .75 = 1\r<BR>\n" );
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document.write( " </SPAN>\n" );
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