document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906444>Question 906444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Austin 10 hours to paint a fence alone. Ashley can do the same job in 13 hours. If Austin paints alone for 35 minutes before Ashley begins helping, how long must they work together to finish painting the fence? Give your answer as a simplified fraction. I have looked at similar problems and their solutions but i still cant get the right answer for my problem.  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549889 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=549889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t takes Austin 10 hours to paint a fence alone.<BR>\n" );
document.write( " Ashley can do the same job in 13 hours.<BR>\n" );
document.write( "If Austin paints alone for 35 minutes before Ashley begins helping, how long must they work together to finish painting the fence?<BR>\n" );
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document.write( "Convert 35 min to hrs, 35/60 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F12 ALIGN=MIDDLE  ALT=\"7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "let t = time required to complete the job when working together<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F12 ALIGN=MIDDLE  ALT=\"7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = Total time worked by Austin<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "A shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B%287%2F12%29%29%29%2F10 ALIGN=MIDDLE  ALT=\"%28%28t%2B%287%2F12%29%29%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F13 ALIGN=MIDDLE  ALT=\"t%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by 130, cancel the denominators and we have<BR>\n" );
document.write( "13(t+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F12 ALIGN=MIDDLE  ALT=\"7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 10t = 130<BR>\n" );
document.write( "13t + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=91%2F12 ALIGN=MIDDLE  ALT=\"91%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 10t = 130<BR>\n" );
document.write( "23t = 130 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=91%2F12 ALIGN=MIDDLE  ALT=\"91%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 122<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F12 ALIGN=MIDDLE  ALT=\"7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F23 ALIGN=MIDDLE  ALT=\"1%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1471%2F12 ALIGN=MIDDLE  ALT=\"1471%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F23 ALIGN=MIDDLE  ALT=\"1%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1471%2F276 ALIGN=MIDDLE  ALT=\"1471%2F276\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "t = 5<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=91%2F276 ALIGN=MIDDLE  ALT=\"91%2F276\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs working together </SPAN>\n" );
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