document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=341207>Question 341207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Parallel processing uses two or more computers, working together, to solve a single problem. Using parallel processing, two computers can solve a problem in 20 minutes. If, working alone, one computer can solve a problem in 9 minutes less than the time needed by the second computer, how long would it take the faster computer working alone to solve the problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244286 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=244286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parallel processing uses two or more computers, working together, to solve a single problem. Using parallel processing, two computers can solve a problem in 20 minutes. If, working alone, one computer can solve a problem in 9 minutes less than the time needed by the second computer, how long would it take the faster computer working alone to solve the problem?<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "together rate = 1/20 min/job<BR>\n" );
document.write( "one comp. rate = 1/(x-9) min/job<BR>\n" );
document.write( "2nd comp. rate = 1/x min/job<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x-9) = 1/20<BR>\n" );
document.write( "---<BR>\n" );
document.write( "20(x-9) + 20x = x(x-9)<BR>\n" );
document.write( "40x-9*20 = x^2-9x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2-49x + 180 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-45)(x-4) = 0<BR>\n" );
document.write( "Realistic solution since 4-9 is negative:<BR>\n" );
document.write( "x = 45 minutes<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x-9 = 36 minutes (faster computer time to do the job) <BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );