It takes two hours for two machines to manufacture 10000 parts. If machine #1 can do the job in one hour less than machine #2, how long does it take for each machine to manufacture 10000 parts alone
1/x + 1/(x-1) = 1/2
solve for x the slower machine time
x-1 + x = 1/2 (x)(x-1)
2x-1 = 1/2x^2 - 1/2x
1/2x^2 -2.5x +1 = 0 x = 4.561 hr the other machine is 3.561 hr