We present detailed Star Formation Histories (SFHs) of a sample of ~ 100 red and dead massive (log M > 10 MSun) galaxies at 
z=1.0 - 1.5. The SFHs have been inferred from the analysis of spectro-photometric data at 500 - 1700 nm (spectral resolution 
50 or higher) from the SHARDS and HST/WFC3 G102-G141 surveys of the GOODS-N field, jointly with broad-band observations 
covering the UV-to-FIR spectral range. The sample has been constructed on the basis of their rest-frame UVJ colours and their 
sSFRs. The data are compared to stellar population models assuming different SFHs, with the goal of determining 4 basic physical 
properties of red quiescent galaxies at high-z: their age, star formation timescale, metallicity, and extinction. Thanks to the 
spectral resolution of the SHARDS plus G102 and G141 data, we are able to measure spectral features related to the age of the 
galaxies (MgUV and D4000), which allow us to break the  typical age-star formation timescale, age-extinction degeneracies after 
with great confidence. Based on this method, we find a bimodality in the population of red and dead galaxies at 1.0 < z < 1.5:
~ 76% of massive quiescent galaxies have relatively young (t= 0.5 - 2 Gyr) stellar populations, intermediate masses 
(< log M > ~ 10.49 MSun) and short star-formation timescales (~ 60 Myr), while there is a substantial quiescent population 
(~24%) of older  galaxies (t = 2 - 5 Gyr) with larger masses (< log M > = 10.82 MSun) and larger star formation timescales 
(~ 400 Myr), already in place at z = 1.0 - 1.5. By evolving the red and dead galaxies with delayed exponentially declining SFH 
we are able to study the tracks followed by dead and red massive galaxies in the SFR-mass plane.