See for example California High-Speed Rail: https://www.cnbc.com/2018/03/12/californias-77-billion-high-...
Or "The Most Expensive Mile of Subway Track on Earth" (in New York): https://www.nytimes.com/2017/12/28/nyregion/new-york-subway-...
Apparently we do need to give it to someone who can control the cost and deliver things within our lifetime.
There's 10 new stations and about 40km of tunnel (20km each way)
That said the tunneling cost alone came out about £30m per km, so about $65m per mile.
[1] https://1londonblog.uk/2018/01/04/bond-streets-crossrail-sta...
Edit: link that proves that in 2010 they decided to delay it by 1 year to save 1B£
https://www.standard.co.uk/news/crossrail-opening-is-delayed...
Airport-bound passengers have luggage that takes up space, blocks aisles and seats, etc. Moving them to a dedicated airport train frees up a lot of capacity that city residents will happily accept and appreciate.
Eddy: ‘PR!’
Saffy: ‘Yes, but…’
Eddy: ‘PR! I PR things! People. Places. Concepts.’