document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335785>Question 335785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set up and Calculate.\r<BR>\n" );
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document.write( "The first programmer,Sammy,grossed $535 in 1 week by working 48 hours. The second programmer, Matin, 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. I have to use a linear equation to do this problem.\r<BR>\n" );
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document.write( "Sammy takes 5 hours longer to complete 300 lines of code than Martin. Toghether, Sammy and Martin can complete the code in 6 hours. \r<BR>\n" );
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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 #240802 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=240802\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first programmer,Sammy,grossed $535 in 1 week by working 48 hours. The second programmer, Matin, 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. I have to use a linear equation to do this problem.<BR>\n" );
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document.write( "Let Sammy's hourly rate be \"S\"<BR>\n" );
document.write( "Let Martin's hourly rate = \"M\"<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "Sammy Eq: 40S + (S/2)8 = 535 dollars<BR>\n" );
document.write( "40S+4S = 535<BR>\n" );
document.write( "44S = 535<BR>\n" );
document.write( "S = $12.16 per hour (Sammy's hourly rate)<BR>\n" );
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document.write( "Martin Eq;40M + (M/2)12 = 587<BR>\n" );
document.write( "40M + 6M = 587<BR>\n" );
document.write( "46M = 587<BR>\n" );
document.write( "M = $12.76 per hour (Martin's hourly rate)<BR>\n" );
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document.write( "Sammy takes 5 hours longer to complete 300 lines of code than Martin. Toghether, Sammy and Martin can complete the code in 6 hours.<BR>\n" );
document.write( "Sammy DATA:<BR>\n" );
document.write( "time = x+5 hr/job ; rate = 1/(x+5) job/hr<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Martin DATA:<BR>\n" );
document.write( "time = x hr/job ; rate = 1/x job/hr<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Together DATA:<BR>\n" );
document.write( "time = 6 hr/job ; 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+5) + 1/x = 1/6<BR>\n" );
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document.write( "Multiply thru by 6x(x+5)<BR>\n" );
document.write( "6x + 6(x+5) = x(x+5)<BR>\n" );
document.write( "6x + 6x+30 = x^2+5x<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) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 10 hrs (time required by Martin to do the job alone)<BR>\n" );
document.write( "Martin's rate is 1/10 job/hr.<BR>\n" );
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document.write( "x+5 = 15 hrs (time required by Sammy to do the job alone)<BR>\n" );
document.write( "Sammy's rate is 1/15 job/hr.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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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<BR>\n" );
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