The cumulative distribution of infall times (t_infall) as a function of lookback time for those subhaloes in the ELVIS simulations identified as hosts of the Local Group satellites at 10⁶ < M_⋆/M_⊙ < 10⁸. The solid black line corresponds to our default selection criteria, where subhaloes are selected according to the abundance matching relation of Garrison-Kimmel et al. (2014a), restricting to those subhaloes with V_max/V_peak > 0.3 and within the host virial radius at z = 0. The dashed cyan and magenta lines show the corresponding distribution of infall times when applying alternative abundance matching prescriptions (see Section 3), while the dashed gold line traces the accretion history of only those subhaloes within 0.5R_vir at z = 0 following the Garrison-Kimmel et al. (2014a) abundance matching relation. A quenched fraction of 90 per cent today, as observed for the Local Group at these masses, corresponds to a quenching time-scale (τ_quench) of ∼1.4 Gyr.