Taking a K6 V star to be 0.64 solar masses and to have a luminosity of 0.137 (very middle-of-the-road values):
The orbital distance at which a planet receives the same insolation as Earth is 0.37 AU.
The orbital period of the planet will be 0.308 years. It's proportional to the 3/2 power of the semi-major axis divided by the square root of the star's mass.
Realistically, the planet's rotation period is almost certainly going to equal to the length of its year (i.e., it will be tidally locked to its star if it's older than a few hundred million years).
As a rule of thumb, planets in habitable-zone orbits are expected to be tidally locked to any star of 0.7 solar masses or less, because of the necessary proximity to the star. You can thwart the tidal lock with an eccentric orbit and the right rotation-to-revolution ratio (see Mercury for an example), but this is only going to make conditions on the planet less conductive to complex life than a simple tidal lock.
some questions, hope they're easy...
If it was a planet with significant liquid oceans, like 100% coverage and fairly deep, would that cause it to become tidally locked faster, slower or have no effect?
Does a large moon have any effect toward resisting tidal locking?