document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257142>Question 257142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A roofer and assistant can repair a roof working together in 6 hours.  Working alone the assistant can complete the repair in 14 hours.  If the roofer and the assistant work together for 2 hours, and then the assistant is left alone to complete the job, how many more hours should the assistant need to finish the repairs?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189094 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=189094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A roofer and assistant can repair a roof working together in 6 hours.<BR>\n" );
document.write( " Working alone the assistant can complete the repair in 14 hours.<BR>\n" );
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document.write( "Let x = time required by the roofer working alone (required to do the next part)<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx ALIGN=MIDDLE  ALT=\"6%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F14 ALIGN=MIDDLE  ALT=\"6%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 <BR>\n" );
document.write( "Multiply by 14x<BR>\n" );
document.write( "14(6) + 6x = 14x<BR>\n" );
document.write( "84 = 14x - 6x<BR>\n" );
document.write( "84 = 8x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84%2F8 ALIGN=MIDDLE  ALT=\"84%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 10.5 hrs, roofer working alone<BR>\n" );
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document.write( "If the roofer and the assistant work together for 2 hours, and then the assistant is left alone to complete the job, how many more hours should the assistant need to finish the repairs?<BR>\n" );
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document.write( "Let a = additional hrs required by the assistant working alone<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F10.5 ALIGN=MIDDLE  ALT=\"2%2F10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B2%29%2F14 ALIGN=MIDDLE  ALT=\"%28a%2B2%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 147 (10.5*14)<BR>\n" );
document.write( "2(14) + 10.5(a+2) = 147<BR>\n" );
document.write( "28 + 10.5a + 21 = 147<BR>\n" );
document.write( "10.5a + 49 = 147<BR>\n" );
document.write( "10.5a = 147 - 49<BR>\n" );
document.write( "10.5a = 98<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=98%2F10.5 ALIGN=MIDDLE  ALT=\"98%2F10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 9<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > more hrs for assistant to finish the job<BR>\n" );
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document.write( "Prove this with a calc<BR>\n" );
document.write( "2/10.5 + 11.33/14 = 1.00<BR>\n" );
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