document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=400936>Question 400936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> matt and jeff need to paint a fence. matt can do the job alone 8 hours faster than jeff. if together they work for 19 hours and finish only 7/8's of the job how long would jeff need 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 #283820 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=283820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> matt and jeff need to paint a fence.<BR>\n" );
document.write( " matt can do the job alone 8 hours faster than jeff.<BR>\n" );
document.write( " if together they work for 19 hours and finish only 7/8's of the job how long<BR>\n" );
document.write( " would jeff need to do the job alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = Jeff's time working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-8) = Matt's time to do the job alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The equation to complete 7/8 of the job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2Ft ALIGN=MIDDLE  ALT=\"19%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F%28%28t-8%29%29 ALIGN=MIDDLE  ALT=\"19%2F%28%28t-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F8 ALIGN=MIDDLE  ALT=\"7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply equation by 8t(t-8); results<BR>\n" );
document.write( "19(8(t-8)) + 19(8t) = 7t(t-8)<BR>\n" );
document.write( "152t - 1216 + 152t = 7t^2 - 56t<BR>\n" );
document.write( "304t - 1216 = 7t^2 - 56t<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "7t^2 - 56t - 304t + 1216 = 0<BR>\n" );
document.write( "7t^2 - 360t + 1216 = 0<BR>\n" );
document.write( "Solve this equation using the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-%28-360%29+%2B-+sqrt%28-360%5E2-4%2A7%2A1216+%29%29%2F%282%2A7%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-%28-360%29+%2B-+sqrt%28-360%5E2-4%2A7%2A1216+%29%29%2F%282%2A7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "the reasonable solution: t = 47.79 hrs is Jeff's time alone <BR>\n" );
document.write( ":<BR>\n" );
document.write( " Jeff has to do 1/8 of the job alone; let j = time to do this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j%2F47.79 ALIGN=MIDDLE  ALT=\"j%2F47.79\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "8j = 47.79<BR>\n" );
document.write( "j = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47.79%2F8 ALIGN=MIDDLE  ALT=\"47.79%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "j = 5.97 hrs for Jeff to finish the job<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this (Matt's time 47.79-8 = 39.79)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F39.79 ALIGN=MIDDLE  ALT=\"19%2F39.79\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F47.79 ALIGN=MIDDLE  ALT=\"19%2F47.79\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.97%2F47.79 ALIGN=MIDDLE  ALT=\"5.97%2F47.79\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".477 + .398 + .125 = 1; confirms our solution<BR>\n" );
document.write( " </SPAN>\n" );
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