can someone tell me if i have any misconception in concept when i consider the following case, as i am really confused about the symmetry of time dilation.
suppose a train and a platform of the same length travel relative to each other at speed of 0.6c ie lorentz factor is .8
to consider the observer on the train measuring how long it takes for the train to travel pass the platform, we take the train as stationary and the platform moving, so if he says he takes 60s. Then the observer on platform will say this event takes 60s(.8) ie 48s?and does this observer(on platform) see the train travel pass the platform in 48s or the 38.4s below.
to consider the observer on platfrom measuring how long the train takes to travel pass the platform, we take the platform stationary and train moving, so if he says it takes 48s, then the observer on the train will say this event will take 48s(.8) ie 38.4s ? and does this observer(on train) see the platform travel past him in 38.4s or the 60s above?