In a race the second place finisher crossed the finish line 1 1/3 minutes after the winner. The third place finisher was one and one 1 3/4 minutes behind the second place finisher. The third place finisher took 34 2/3 minutes. How long did the winner take?

To find the time the second place finisher took, we need to add 1 1/3 minutes to the time of the winner: 1 1/3 + 1 1/3 = 4/3 + 4/3 = <<1+1/3=8/3=2.6666666666666665>>2 2/3 minutes

To find the time the winner took, we subtract that from the time of the second place finisher: 2 2/3 - 2 2/3 = 0 minutes. Answer: \boxed{0}.