document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126412>Question 126412</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279204/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Ron Wood can paint a room in 6 hr working alone. If his son, Jason, helps him, the job takes 4 hr. How long would it take Jason to do the job if he worked alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92676 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=92676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ron Wood can paint a room in 6 hr working alone. If his son, Jason, helps him, the job takes 4 hr. How long would it take Jason to do the job if he worked alone?<BR>\n" );
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document.write( "A typical shared work equation:<BR>\n" );
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document.write( "Let t = time required if J works alone<BR>\n" );
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document.write( "Let the completed job = 1; (each will do a fraction of the job)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6 ALIGN=MIDDLE  ALT=\"4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ft ALIGN=MIDDLE  ALT=\"4%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 6t to get rid of the denominators:<BR>\n" );
document.write( "6t*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6 ALIGN=MIDDLE  ALT=\"4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 6t*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ft ALIGN=MIDDLE  ALT=\"4%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6t(1)<BR>\n" );
document.write( "Cancel out the denominators, resulting in<BR>\n" );
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document.write( "4t + 6(4) = 6t<BR>\n" );
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document.write( "4t + 24 = 6t<BR>\n" );
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document.write( "24 = 6t - 4t<BR>\n" );
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document.write( "24 = 2t<BR>\n" );
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document.write( "t = 12 hrs, J working alone <BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6 ALIGN=MIDDLE  ALT=\"4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F12 ALIGN=MIDDLE  ALT=\"4%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <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;\" > = 1 </SPAN>\n" );
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