document.write( "Question 317234: A new computer can process a company's monthly payroll in 1 hour less time than the old computer. To really save time, the managert user both computers finished the payroll in 3 hours. How long would it take the new computer to do the payroll by itself? \n" ); document.write( "
Algebra.Com's Answer #227176 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
1/(x-1)+1/x=1/3 find the LCM x(x-1).
\n" ); document.write( "(x+x-1)/x(x-1)=1/3 combine like terms.
\n" ); document.write( "(2x-1)/(x^2-x)=1/3 cross multiply.
\n" ); document.write( "x^2-x=3(2x-1)
\n" ); document.write( "x^2-x=6x-3
\n" ); document.write( "x^2-x-6x+3=0
\n" ); document.write( "x^2-7x+3=0
\n" ); document.write( " \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "x=(7+-sqrt[-7^2-4*1*3])/2*1
\n" ); document.write( "x=(7+-sqrt[49+12])/2
\n" ); document.write( "x=(7+-sqrt37)/2
\n" ); document.write( "x=(7+-6.08)/2
\n" ); document.write( "x=(7+6.08)/2
\n" ); document.write( "x=13.08/2
\n" ); document.write( "x=6.54 hrs. for the old machine.
\n" ); document.write( "6.54-1=5.54 hrs. for the newer machine.
\n" ); document.write( "Proof:
\n" ); document.write( "1/5.54+1/6.54=1/3
\n" ); document.write( ".181+.153=.333
\n" ); document.write( ".334~.333\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );