document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295680>Question 295680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two programmers are working on writing a new program that will check for viruses when incoming messages enter the company’s server. <BR>\n" );
document.write( "The first programmer, Sammy, grossed $535 in 1 week by working 48 hours. The second programmer, Martin, grossed $587 in 1 week by working 52 hours. Time-and-a-half is paid for all hours worked in excess of 40 hours. Which programmer earns more per hour (hint: linear equations)?<BR>\n" );
document.write( "Sammy takes 5 hours longer to complete 300 lines of code than Martin. Together, Sammy and Martin can complete the code in 6 hours. <BR>\n" );
document.write( "Clearly explain the results showing the calculations of how long it takes each programmer to complete the code if he programs on his own (hint: quadratic equation) and at what speed he is 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 #213112 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=213112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> salary <BR>\n" );
document.write( "535=(8)*s/2+s*48<BR>\n" );
document.write( "587=12*m/2+m*52<BR>\n" );
document.write( "m=10.1207,s=10.2885<BR>\n" );
document.write( "m=10.12 s=10.29\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "work problem<BR>\n" );
document.write( "6/(x+5)+6/x=1<BR>\n" );
document.write( "x=10 Martin takes 10 hours alone 30 lines an hour<BR>\n" );
document.write( "x+5=15 Sammy takes 15 hours alone 20 lines an hour<BR>\n" );
document.write( "6/10+6/15=1<BR>\n" );
document.write( "3/5 + 2/5=1<BR>\n" );
document.write( "Sammy does 2/5 and Martin does 3/5 of the job.<BR>\n" );
document.write( "2/5*300=120 lines working together<BR>\n" );
document.write( "3/5*300=180 lines working together </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );