/sci/ - Science & Math

There is no friction, so you can ignore velocity, starting velocity is the same as end velocity. It's just a steady rate. Gravity wasn't mentioned so inserting it into the question is silly, neither were any other forces. Assuming the track has a greater than zero width, in the picture it certainly does, then the paths followed by balls A and B are not the same length.
The tracks are the same length, but the path followed by the balls are not. You're counting at a steady rate towards two different sums. So basically which path is shorter? Path B. If the the track has zero width, the balls get there at the same time, because the path's followed mirror each other.