National Geographic Challenge!

You'll need two controllers to get this achievement. You don't need two profiles.

Sign in with your main profile and then choose Games -> Puzzle Battle. Hit ready on your main profile. Plug in your second controller and hit A, just picking the default character. Hit A again to start the game.

Now select ready for both controllers. You won't have to touch your second controller again.

From your main controller, match pieces from the bottom to squares in the puzzle. Eventually time will run out for the second player and you'll be declared the winner. Achievement unlocked.

[Edit: In a comment, CthulhuCalamari says: "Don't even have to place any pieces-- just tap A on the 2nd controller to deplete it's timer quickly." -- may work better for you.]

On my first attempt at this i tried what ianthe suggested and placed several puzzle pieces while not touching controller two and i still lost. I then read a helpful comment from CthuluCalamari stating that to do this quickly all you have to do is start a two player game and once it starts repeatedly tap the a button on controller two to deplete their time. I tried this and it worked like a charm. The achievement didn't pop until i was back at the game select menu.