An uncatalyzed pathway for a reaction has an activation energy of 50 kJ mol⁻¹ at 300 K. A catalyst provides an alternative pathway with an activation energy of 25 kJ mol⁻¹, but the reaction mixture is cooled to 280 K when the catalyst is introduced. Predict whether the catalyzed reaction at 280 K will be faster, slower, or approximately the same rate as the uncatalyzed reaction at 300 K, and justify your answer.