The lifetimes of the B- and B̄0 mesons are measured using the partially reconstructed semileptonic decays B̄ → Dl- v̄X, where D0 is either a D0 or D*+ meson. The data were collected by the CDF detector at the Fermilab Tevatron collider during 1992-1995 and correspond to about 110 pb-1 of pp collisions at √s = 1.8 TeV. We measure decay lengths and extract the lifetimes to be τ(B-) = 1.637±0.058-0.043+0.045 ps and τ(B̄0) = 1.474±0.039-0.051+0.052 ps, and the ratio of the lifetimes to be τ(B-)/τ(B̄0) = 1.110±0.056-0.030+0.033, where the first uncertainties are statistical and the second are systematic.
