This is by far the hardest achievement in the game and may be the only one that poses a challenge. You will need to try to not fail any obstacles, quickly complete the puzzles, and catch all the turbo orbs to boost your speed. You will also need to find almost every shortcut and remember to lean forward occasionally as it gives you a speed boost. In each area you enter that has a circular floor there will be a shortcut with two labels: "enter" and "exit". The "enters" have neon yellow light lining the floor and the "exits" will have neon green lights on the floor. When you are in a room with a "enter," lean toward the direction the shortcut begins.
Track one is the easiest to do this on. In track 1 there are 4 shortcuts: Left, Right, Right again, then Left for the final one. There are two green orbs, one after a gap about 1/3 of the way through the level and another a little over the half way mark, you must jump to get them. There are 5 puzzles, be sure to take a little time on these so that you do not mess up, but takin more than 10 seconds will ruin your chances. You can mess up on one obstacle and miss one shortcut and still complete track one under 3 minutes. However you can gain more lead time if remember or write down the puzzles before hand so you do not waste time in x-ray vision.