Hove to Cardiff for a weekend conference. According to Google maps, that’s 190 miles each way, or 380 miles there and back. Using HM Revenue and Customs approved rate for going by car, that’s 45p a mile. Total costs of going by car: £171. Plus parking. Hassle. Etc. Advance purchase rail ticket, with a railcard: Hove to Cardiff £9.55 outbound; £10.25 back. Total: £19.80. Difference between car travel and rail travel: £151.20. Which buys a lot of taxis, meals and, if you time it right, overnight accommodation. It’s Cheaper By Train. QED.
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