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Measurements of $b$-hadron lifetimes are reported using $pp$ collision data,corresponding to an integrated luminosity of 1.0fb$^{-1}$, collected by theLHCb detector at a centre-of-mass energy of $7$Tev. Using the exclusive decays$B^+\to J/\psi K^+$, $B^0\to J/\psi K^*(892)^0$, $B^0\to J/\psi K^0_{\rm S}$,$\Lambda_b^0\to J/\psi \Lambda$ and $B^0_s\to J/\psi \phi$ the average decaytimes in these modes are measured to be $\tau_{B^+\to J/\psi K^+}$ = $1.637\pm$ 0.004 $\pm$ 0.003 ps, $\tau_{B^0\to J/\psi K^*(892)^0}$ = $1.524 \pm$0.006 $\pm$ 0.004 ps, $\tau_{B^0\to J/\psi K^0_{\rm S}}$ = $1.499 \pm$ 0.013$\pm$ 0.005 ps, $\tau_{\Lambda_b^0\to J/\psi \Lambda}$ = $1.415 \pm$ 0.027$\pm$ 0.006 ps and $\tau_{B^0_s\to J/\psi \phi}$ = $1.480 \pm$ 0.011 $\pm$0.005 ps, where the first uncertainty is statistical and the second issystematic. These represent the most precise lifetime measurements in thesedecay modes. In addition, ratios of these lifetimes, and the ratio of thedecay-width difference, $\Delta\Gamma_d$, to the average width, $\Gamma_d$, inthe $B^0$ system, $\Delta \Gamma_d/\Gamma_d = -0.044 \pm 0.025 \pm 0.011$, arereported. All quantities are found to be consistent with Standard Modelexpectations.

Measurements of the $B^+$, $B^0$, $B_s^0$ meson and $\Lambda_b^0$ baryon lifetimes