Every time you log in with a new IP or if your IP resets you are locked out and need to reset your password. From there you won't have an issue logging in at both locations.

I am not sure how it would work with an authenticator like the others are suggesting as it would be tied to one mobile device or key.. So your partner needs to ask you for the code each time or vice versa? I dont think you can have to devices tied to one account, but I am be wrong..

Good luck!