We study the dynamics on a biased globally connected energy landscape with correlations, using the generalized random energy model. Though the kinetic model has many applications, we discuss the model in the context of protein folding kinetics. Restricting the hierarchy to just two tiers, we find that the time scale of the overall folding coincides with that predicted by the random energy model at temperatures above the transition to partial freezing. At intermediate temperatures below the partial freezing transition, the search time is reduced due to the correlation effects. The dispersion of the relaxation time from sample to sample is also discussed.