document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=748787>Question 748787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tiburcio can paint a certain room in 1 day. His daughter Alma can paint it in 2 days. After Tiburcio has been working for several hours, his daughter helped him and together they finished the job in 3 hours. How many hours did Tiburcio work alone? Assume an 8-hour working day. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455646 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=455646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tiburcio can paint a certain room in 1 day.<BR>\n" );
document.write( " His daughter Alma can paint it in 2 days.<BR>\n" );
document.write( " After Tiburcio has been working for several hours, his daughter helped him and together they finished the job in 3 hours.<BR>\n" );
document.write( " How many hours did Tiburcio work alone?<BR>\n" );
document.write( " Assume an 8-hour working day.<BR>\n" );
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document.write( "Let t = time that Ti worked alone<BR>\n" );
document.write( "Let the completed job = 1 (a painted room)<BR>\n" );
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document.write( "A shared work equation, (time in hrs)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B3%29%29%2F8 ALIGN=MIDDLE  ALT=\"%28%28t%2B3%29%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F16 ALIGN=MIDDLE  ALT=\"3%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 16, cancel the denominators, resulting in:<BR>\n" );
document.write( "2(t+3) + 3 = 16<BR>\n" );
document.write( "2t + 6 + 3 = 16<BR>\n" );
document.write( "2t = 16 - 9<BR>\n" );
document.write( "2t = 7<BR>\n" );
document.write( "t = 7/2<BR>\n" );
document.write( "t = 3.5 hrs worked by Ti alone<BR>\n" );
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document.write( "See if that checks out on a calc:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.5%2F8 ALIGN=MIDDLE  ALT=\"6.5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F16 ALIGN=MIDDLE  ALT=\"3%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".8125 + .1875 = 1 </SPAN>\n" );
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