Predicted time a model spends in the different WR phases τ_WR as a function of luminosity for different initial masses and orbital periods of binary models at LMC metallicity. The BPASS tracks, depicted as dashed lines, cover initial donor masses M_1,  i = 30 M_⊙, 40 M_⊙, 60 M_⊙, and 80 M_⊙. The solid lines correspond to our binary models which cover initial donor masses M_1,  i = 32 M_⊙, 39.2 M_⊙, 63.1 M_⊙, and 79.4 M_⊙. Each track is labeled at its end with its initial mass. The tracks are colored in orange, green, and blue according to their surface abundances which are used in the later analysis to respectively differentiate the H-poor WN, H-free WN, and WC phase. All binary models have an initial mass-ratio of q_i = 0.7 and the tracks of initial orbital periods P_i = 4 d, 40 d, and 400 d in panel a, b, and c, respectively.