B

Step 1: Understand that a ball rolling inside a tube follows the principles of dynamics and kinematics.
Step 2: The ball first rolls from A to B and then from B to C, and similarly from A to D and D to C.
Step 3: The distance between points A and C is the same irrespective of the path taken (AB + BC = AD + DC). However, the inclination and curvature of the path impact the acceleration of the ball.
Step 4: When the ball rolls along the sides AB and BC, it experiences a more gradual incline and smoother transition, while rolling along sides AD and DC may involve changing directions more sharply.
Step 5: Given these conditions, the rolling friction and centripetal forces would affect the speed more significantly along AD and DC.
Step 6: Therefore, the ball will roll faster along AD and DC because of a lesser overall frictional effect and more effective gravitational acceleration leveraging the tube's depth.
Thus, the answer is B.