document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=579917>Question 579917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fred can paint a certain room in 5 hours. One day Fred decides to help his friend Jack paint such a room. After they work together for 2 hours Fred goes home and leaves Jack to finish painting the room. Jack requires 4 more hours to finish the room. How long would it have taken Jack to paint the room alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371098 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=371098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fred can paint a certain room in 5 hours.<BR>\n" );
document.write( " One day Fred decides to help his friend Jack paint such a room.<BR>\n" );
document.write( " After they work together for 2 hours Fred goes home and leaves Jack to finish painting the room.<BR>\n" );
document.write( " Jack requires 4 more hours to finish the room.<BR>\n" );
document.write( " How long would it have taken Jack to paint the room alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let j = time required by jack to paint the room alone<BR>\n" );
document.write( "let the completed job = 1; (a painted room)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "From the information given, we know Jack painted for a total of 6 hrs and Fred 2 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fj ALIGN=MIDDLE  ALT=\"6%2Fj\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 5j<BR>\n" );
document.write( "5j*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 5j*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fj ALIGN=MIDDLE  ALT=\"6%2Fj\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5j<BR>\n" );
document.write( "cancel the denominators<BR>\n" );
document.write( "2j + 5(6) = 5j<BR>\n" );
document.write( "30 = 5j - 2j<BR>\n" );
document.write( "30 = 3j<BR>\n" );
document.write( "j = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F3 ALIGN=MIDDLE  ALT=\"30%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "j = 10 hrs for jack to do it alone<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F10 ALIGN=MIDDLE  ALT=\"6%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".4 + .6 = 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );