The difference of τB and τ∧b indicates the role of the light flavors. We calculate the lifetimes ofB-meson and ∧b based on the weak effective Hamiltonian while assuming the heavy baryon is constructed by a heavy b-quark and a diquark containing two light quarks. In this scenario, we use the information of the measured ratio τ∧b/τB as input to predict rates of the inclusive weak decays of ∑b(*) and∑b(*) into non-bottom final states. We find that these rates of ∑b(*) and ∑b(*) are much larger than those of B-mesons and ∧b. We also give the predictions for the lifetimes of Ωb and Ω*b. Phenomenological implication of our result is discussed.``