Really? So you don't understand basic analysis.
Point A 10am
Point B 10:30am
Train 1 10:05 to point A1 at 10:15
Train 2 10:20 to point B at 10:25
Train 1 10:15 to Point A1 at 10:25
Train 2 10:30 to Point B at 10:35
So which option did I use? Obviously the first one as I would not have made it out of the station at 10:30.
Combine the above with the actual times of the trains and there you go, a nice easy way to get this information.
I will concede that within London Underground there are sometimes many options for a journey on different lines and if you don't know what you are doing you could potentially end up with a longer journey (though as an analyst it rarely happens to me).
So again the question remains, how useful is this data and why do they want it?
I also questioned free-WiFi on busses, nothing is free so whats the cost? Am I to believe the bus companies are on an altruistic mission to connect their customers to the internet? Most people have mobile data anyway but are stupid enough to see the big "Free" sign and take it.