document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277656>Question 277656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have searched everywhere reading everything... I do not know how to turn this problem into a quadratic equation. Sammy takes 5 hours longer to complete 300 lines of code than Martin. Together Sammy and Martin can complete the code in 6 hours. How long does it take each programmer to complete the code if they complete on their own. At what speed is each programming lines per hour </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202118 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=202118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sammy takes 5 hours longer to complete 300 lines of code than Martin. <BR>\n" );
document.write( "Together Sammy and Martin can complete the code in 6 hours. <BR>\n" );
document.write( "How long does it take each programmer to complete the code if they complete on their own. <BR>\n" );
document.write( "At what speed is each programming lines per hour<BR>\n" );
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document.write( "Let Martin time = x hr/job ; then Martin rate = 1/x job/hr<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Sammy time = (x+5)hr/job; Sammy rate = 1/(x+5) job/hr<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Together time = 6 hr/job ; Together rate = 1/6 job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x+5) = 1/6<BR>\n" );
document.write( "Multiply thru by 6x(x+5) to get:<BR>\n" );
document.write( "6(x+5) + 6x = x(x+5)<BR>\n" );
document.write( "12x + 30 = x^2 + 5x<BR>\n" );
document.write( "x^2-7x-30 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-10)(x+3) = 9<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 10 hrs (Martin's time to do the job alone); his rate = 1/10 job/hr<BR>\n" );
document.write( "x+5 = 15 hrs (Sammy's time to do the job alone); his rate = 1/15 job/hr<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Lines per Hour?<BR>\n" );
document.write( "Martin rate = (1/10)(300) = 30 lines per hour<BR>\n" );
document.write( "Sammy rate = (1/15)(300) = 20 lines per hour<BR>\n" );
document.write( "=================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );