document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=652519>Question 652519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Denis 3 hrs longer than Rolly to complete a certain job. Working together, both can complete the job in 2 hrs. How long does it take each person to complete the job working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408175 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=408175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  It takes Denis 3 hrs longer than Rolly to complete a certain job.<BR>\n" );
document.write( " Working together, both can complete the job in 2 hrs.<BR>\n" );
document.write( " How long does it take each person to complete the job working alone?<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( "let r = time required by Rolly alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r+3) = time required by Denis<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A shared work equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fr ALIGN=MIDDLE  ALT=\"2%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28%28r%2B3%29%29 ALIGN=MIDDLE  ALT=\"2%2F%28%28r%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by r(r+3), results<BR>\n" );
document.write( "2(r+3) + 2r = r(r+3)<BR>\n" );
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document.write( "2r + 6 + 2r = r^2 + 3r<BR>\n" );
document.write( "Combine like terms on the right<BR>\n" );
document.write( "0 = r^2 + 3r - 2r - 2r - 6<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "r^2 - r - 6 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(r-3)(r+2) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "r = 3 hrs, Rolly working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3 + = 6 hrs, Denis working alone<BR>\n" );
document.write( ":<BR>\n" );
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document.write( "Check this<BR>\n" );
document.write( "2/3 + 2/6 = 1 </SPAN>\n" );
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