document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883050>Question 883050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ronnie takes 4 hours longer than Tim to paint a room. if they work together they can paint the room in 9 hours. How long would it take each person if they worked alone? using fractions not decimals in answer.<BR>\n" );
document.write( "let a = Tim (X)<BR>\n" );
document.write( "b= Ronnie (X+4)<BR>\n" );
document.write( "t= 9 hrs\r<BR>\n" );
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document.write( "t/a +t/b=1\r<BR>\n" );
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document.write( "9/x+9/x+4=9\r<BR>\n" );
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document.write( "i feel this is the correct format, but im lost at this point  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533297 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=533297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well you had the right idea but your set up is a little flawed.  \r<BR>\n" );
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document.write( "If we let R = the time it takes Ronnie to paint a room and T = the time it takes Tim to pain a room then we have the following equations:\r<BR>\n" );
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document.write( "R = 4+T<BR>\n" );
document.write( "R+T = 9 \r<BR>\n" );
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document.write( "Now we see that R is already by its self in the first equation so lets just plug that in for R in the second equation and solve for T.\r<BR>\n" );
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document.write( "R+T = 9<BR>\n" );
document.write( "4+T+T = 9<BR>\n" );
document.write( "4+2T = 9<BR>\n" );
document.write( "2T = 5<BR>\n" );
document.write( "T = 5/2\r<BR>\n" );
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document.write( "So we know that it takes Tim 5/2 hours to paint the room which is 2 and a half hours.  Now we can plug that 5/2 into the first equation and find how long it takes Ronnie.  \r<BR>\n" );
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document.write( "R = 4+T<BR>\n" );
document.write( "R = 4 + 5/2<BR>\n" );
document.write( "R = 8/2 + 5/2<BR>\n" );
document.write( "R = 13/2\r<BR>\n" );
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document.write( "So it takes Tim 5/2 hours or 2 and a half hours to paint the room while it takes Ronnie 13/2 hours or 6 and a half hours to paint the same room.  </SPAN>\n" );
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