document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97177>Question 97177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After 5 hours of painting, Jess asked the for assistance of Jon.Together, they finished the job in 4 more hours.If Jon had joined in an hour after Jess started working, the job would have been finished in 7 hours. How long would it have taken for Jess to paint the house alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70895 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=70895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> After 5 hours of painting, Jess asked the for assistance of Jon. Together, they finished the job in 4 more hours.If Jon had joined in an hour after Jess started working, the job would have been finished in 7 hours. How long would it have taken for Jess to paint the house alone?<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "Let x = time if Jess did the job alone<BR>\n" );
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document.write( "Let y = time if Jon did the job alone<BR>\n" );
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document.write( "We know that after 5 hrs, he would complete <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fx ALIGN=MIDDLE  ALT=\"5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job<BR>\n" );
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document.write( "Jess alone for 5 hr, together with Jon for 4 hrs, (a total of 9 hrs)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fx ALIGN=MIDDLE  ALT=\"5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fy ALIGN=MIDDLE  ALT=\"4%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( " 5y + 4y + 4x = xy<BR>\n" );
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document.write( " 9y + 4x = xy<BR>\n" );
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document.write( "Jess alone for 1 hr, together for 6 hr (a total of 7 hrs)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <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%2Fy ALIGN=MIDDLE  ALT=\"6%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "y + 6y + 6x = xy<BR>\n" );
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document.write( "7y + 6x = xy<BR>\n" );
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document.write( "Since both equations = xy, make them equal to each other<BR>\n" );
document.write( "9y + 4x = 7y + 6x<BR>\n" );
document.write( "9y - 7y = 6x - 4x<BR>\n" );
document.write( "2y = 2x<BR>\n" );
document.write( "y = x<BR>\n" );
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document.write( "Rewrite the initial work equation substituting x for y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fx ALIGN=MIDDLE  ALT=\"5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fy ALIGN=MIDDLE  ALT=\"4%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fx ALIGN=MIDDLE  ALT=\"5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2Fx ALIGN=MIDDLE  ALT=\"13%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Therefore x = 13 hrs for Jess to do it alone<BR>\n" );
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document.write( "The same time would be required by Jon (y), prove that in the 2nd work equation<BR>\n" );
document.write( "Substitute 13 for x in the 2nd work equation, solve for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <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%2Fy ALIGN=MIDDLE  ALT=\"6%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F13 ALIGN=MIDDLE  ALT=\"1%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F13 ALIGN=MIDDLE  ALT=\"6%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fy ALIGN=MIDDLE  ALT=\"6%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F13 ALIGN=MIDDLE  ALT=\"7%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fy ALIGN=MIDDLE  ALT=\"6%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "7y + 13(6) = 13y<BR>\n" );
document.write( "78 = 13y - 7y<BR>\n" );
document.write( "6y = 78<BR>\n" );
document.write( "y = 13 hr, Jon alone also<BR>\n" );
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document.write( "Did this help? Make any sense to you?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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