document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402220>Question 402220</A>: <I><SPAN STYLE=\"word-break: break-all;\">  if one guy can paint a house in 5 hours, and another guy can do it in 3, how long will it take them together if the 5 hour guy starts an hour earlier then the 3 hour guy?<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 #284543 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Thanks for correcting me!\r<BR>\n" );
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document.write( "if one guy can paint a house in 5 hours, and another guy can do it in 3, how long will it take them together if the 5 hour guy starts an hour earlier then the 3 hour guy?<BR>\n" );
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document.write( "Let x = time (hours) it takes for both<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+1)(1/5) + x(1/3) = 1<BR>\n" );
document.write( "multiplying both sides by 15:<BR>\n" );
document.write( "(x+1)(3) + x(5) = 15<BR>\n" );
document.write( "3x+3 + 5x = 15<BR>\n" );
document.write( "8x+3 = 15<BR>\n" );
document.write( "8x = 12<BR>\n" );
document.write( "x = 1.5 hours\r<BR>\n" );
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