Here's the live arrivals board for Manchester Victoria station in England. At the time of posting, the next five trains scheduled to arrive were 15 minutes late, 14 minutes late, 25 minutes late, 8 minutes late and cancelled. This is not atypical.

http://ojp.nationalrail.co.uk/service/ldbboard/arr/MCV

Running a railway to time is remarkably difficult, because a single delay can cascade through the entire network.

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.648...