  We average the decay width of a heavy meson in the t' Hooft model over the
heavy quark mass M with a smooth weight function. The averaging has support
over a few resonance spacings. We use the previously determined heavy meson
decay width which differs from the free quark width by a 1/M correction. In
contrast, we find that the averaged meson and quark widths differ by a 1/M^2
correction. We speculate on the relevance of our results to the
phenomenologically relevant case of 3+1 dimensional QCD.
