The Fast Train

A friend of mine works and lives in the city, but rather enjoys a jaunt to the countryside whenever possible. Each weekend, he heads off to King’s Cross station around Saturday lunchtime and catches either the train to Leicester or the train to Dover, taking whichever is leaving first. Both run at perfect twenty minute intervals, but even though the exact time of his arrival at the station is random, he has found that around 90 per cent of the time he ends up in Leicester rather than Dover.

I reported this oddity to Holmes, who was of course immediately able to shed light on it.

What was the explanation?

SOLUTION