From a data sample of approximately 240 000 hadronic Z0 decays recorde
d during 1991 a sample of about 130 semileptonic B hadron decays conta
ining a D0, D+ or D+ has been isolated. Using silicon microvertex det
ector information the decay vertices in these events have been reconst
ructed. The average B hadron lifetime of the mix of B hadrons in this
event sample is measured to be 1.51(+0.16/-0.14) +/- 0.11 ps. From the
distribution of decay times in the different samples the lifetimes of
the B0 and B+ mesons are determined to be 1.51(+0.24+0.12/-0.23-0.14)
ps and 1.51(+0.30+0.12/-0.28-0.14) ps, respectively. The measured rat
io of the B+ to B0 lifetimes of 1.00(+0.33/-0.25) +/- 0.08 supports ex
pectations that the lifetimes are similar.