Measurements of the average b-hadron lifetime using inclusive B [yields] J/[psi]X events, the individual B[sub u] and B[sub d] lifetimes and their ratio using exclusive B [yields] [psi]K events, and the B[sub s] lifetime using semileptonic B[sub s] lifetime using semileptonic B[sub s] [yields] l[nu]D[sub 3]X events are presented. The results were obtained from a 21.3 pb[sup [minus]1] sample of [radical]s = 1.8 TeV [bar p]p collisions collected in 1992--93 at the Fermilab Tevatron collider and required the precise position measurements of the recently installed CDF silicon vertex detector.