Recently, Bidaux, Boccara, and Chaté [Phys. Rev. A 39, 3094 (1989)], introduced a probabilistic cellular automaton whose one-dimensional version exhibits a continuous transition to an absorbing state. Steady-state simulations gave critical exponents different from those of directed percolation, a surprising result, as the universality class of directed percolation is known to be very robust. I have studied the nonequilibrium critical behavior of the one-dimensional model using time-dependent Monte Carlo simulations, and determined three dynamic critical exponents, all of which are in excellent agreement with directed percolation.