We actually had a similar thing during a scavenger hunt. We had to stamp a fake ticket (of course we had a real one too

Hmm, I think, I'll figure out a route and try a tube challenge here.

EDIT: It should take from 9:12 to 12:50, which would be 3 hours and 38 minutes for 65,6km of subway and a few km with trains and a tram.