document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448312>Question 448312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Any help would surely be appreciated.  \"If Cody and Hunter painted the room together, it would take them 4 hours and 57 minutes.  Cody would be able to paint a room 3 hours and 3 minutes faster if Hunter helped.  Figure out how long each person needs to paint a room alone\". Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308575 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=308575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"If Cody and Hunter painted the room together, it would take them 4 hours and 57 minutes.<BR>\n" );
document.write( " Cody would be able to paint a room 3 hours and 3 minutes faster if Hunter helped.<BR>\n" );
document.write( " Figure out how long each person needs to paint a room alone\".<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let's do this in minutes. <BR>\n" );
document.write( " 4 hrs 57 min = 297 min<BR>\n" );
document.write( " 3 hrs  3 min = 183 min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let c = Cody's time alone<BR>\n" );
document.write( "Let h = Hunter's time alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1 (a painted room)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=297%2Fc ALIGN=MIDDLE  ALT=\"297%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=297%2Fh ALIGN=MIDDLE  ALT=\"297%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"Cody would be able to paint a room 3 hours and 3 minutes faster if Hunter helped.\"<BR>\n" );
document.write( "So we can say:<BR>\n" );
document.write( "c - 183 = 297<BR>\n" );
document.write( "c = 297 + 183<BR>\n" );
document.write( "c = 480 min Cody alone (8 hrs)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Replace c with 480, find h:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=297%2F480 ALIGN=MIDDLE  ALT=\"297%2F480\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=297%2Fh ALIGN=MIDDLE  ALT=\"297%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 480h, results<BR>\n" );
document.write( "297h + 480(297) = 480h<BR>\n" );
document.write( "142560 = 480h - 297h<BR>\n" );
document.write( "183h = 142560<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=142560%2F183 ALIGN=MIDDLE  ALT=\"142560%2F183\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 779 min Hunter alone (12 hrs, 59 minutes)<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=297%2F480 ALIGN=MIDDLE  ALT=\"297%2F480\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=297%2F779 ALIGN=MIDDLE  ALT=\"297%2F779\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ".61875 + .38126 ~ 1, so we can say<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cody, 8 hrs alone<BR>\n" );
document.write( "Hunter, 12 hr 59 min alone </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );