Ok so i've come across this question a number of times and i was able to pry the answer out of Moto.
The processor speed of the Moto Q is 313 Mhz.

Not sure why this is absolutely nowhere in the manual, in reviews, etc. i myself think the processor speed is something important (atleast to me) and i have to say i'm a bit disappointed, i would've hoped for 400+ but hopefully with the windows mobile 5.0 Smartphone software it doesn't need to be as fast as the full pda version.