document.write( "Question 1017102: Working together, computer A and B can complete a data-processing job in 2 hours. Computer A working alone can do the job in 3 hours less that computer B working alone. How long does it take each computer to do the job by itself? \n" ); document.write( "
Algebra.Com's Answer #633439 by stanbon(75887) ![]() You can put this solution on YOUR website! Working together, computer A and B can complete a data-processing job in 2 hours. Computer A working alone can do the job in 3 hours less than computer B working alone. How long does it take each computer to do the job by itself? \n" ); document.write( "---------------- \n" ); document.write( "Together rate:: 1/2 job/hr \n" ); document.write( "--------- \n" ); document.write( "A rate:: 1/(x-3) job/hr \n" ); document.write( "--------- \n" ); document.write( "B rate:: 1/x job/hr \n" ); document.write( "-------------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/(x-3) + 1/x = 1/2 \n" ); document.write( "----- \n" ); document.write( "2x + 2(x-3) = x(x-3) \n" ); document.write( "2x + 2x-6 = x^2 - 3x \n" ); document.write( "x^2 - 7x + 6 = 0 \n" ); document.write( "--- \n" ); document.write( "(x-6)(x-1) = 0 \n" ); document.write( "Acceptable answer:: x = 6 hr (B time to do the job) \n" ); document.write( "x-3 = 3 hrs (A time to do the job) \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |