document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31561>Question 31561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this?<BR>\n" );
document.write( "A software development company is getting ready to release a new product. The QA Director is notified the following. A Junior Verification Engineer takes 1 hour longer to fix a bug (in the code) than it takes a Senior Engineer. If they can fix the bug in 5 hours working together, how long would it take each Engineer to finish the task by themselves? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18251 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=18251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the time taken by the Senior Engineer to fix the bug is x hrs<BR>\n" );
document.write( "Time taken by the Junior Verification Engineer to fix the bug is (x+1) hrs\r<BR>\n" );
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document.write( "If the Sr. Engineer completes the full job in x hrs, he/she completes 1/x-th of the job in 1 hour.<BR>\n" );
document.write( "=> Sr. Engineer completes 5/x portion of the job in 5 hours<BR>\n" );
document.write( "Same way the Junior Verification Engineer completes 1/(x+1) portion of the job in 1 hour<BR>\n" );
document.write( "=>Junior Verification Engineer completes 5/(x+1) portion of the job in 5 hours<BR>\n" );
document.write( "Together they complete the entire job in 5 hours<BR>\n" );
document.write( "=>5/x + 5/(x+1) = 1<BR>\n" );
document.write( "=>5(x+1) + 5x = x(x+1)<BR>\n" );
document.write( "=>10x+5 = x^2+x<BR>\n" );
document.write( "=>x^2-9x-5 = 0<BR>\n" );
document.write( "=>x=1/2[9+sqrt(81+20)] because number of hours cannot be negative<BR>\n" );
document.write( "=>x=1/2[9+sqrt(101)]<BR>\n" );
document.write( "=>x=1/2(9+10.05)<BR>\n" );
document.write( "=>x=9.53\r<BR>\n" );
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document.write( "The Senior Engineer can fix the job in about 9:30 minutes individually and the Jr. Engineer can do the same in about 10:30 hours individually </SPAN>\n" );
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