Considering the requirements of the other achievements in this game, it is not likely that you will pass 5, 15, and 30 hours of play time while working towards the other achievements. However, grinding out this achievement is fairly easy.
Setup your computer's power setting so that it doesn't go to Sleep or Hibernate during period of inactivity. Disable the screen saver as well.
Once your computer is ready, load up any level and walk away. Make sure that no menus are up and you are just waiting to shoot the birds. When you come back, shoot the birds to end the level and whether you pass or fail the time will be added to your total. If you have passed 5, 15, or 30 hours while you are away, the achievement will unlock after completion of the level you left running.
One additional thing to note is that you can play on a Windows Phone or on your Xbox at the same time that you are working on this.
This strategy works for the following achievements as well: