This is a fairly easy achievement, and have kinda multiple ways what to do.
First off if you think you are a REALLY slow player, then skip all cinematics, use taxi and everytime you fail a mission reload save. Personally i got my story through in 12 hours with this method and i totally recommend watching the story cinematics so you can easily let that off.
But yeah modify those as you like, most of you should do enough by just reloading after fails and using taxi, no needing of cinematic skipping.
And before you panic after finishing the story...This achievement DOES NOT come after the "You won" one, you get this one after the credits, and it dosent matter if you skip em.