Saturday, September 13, 2008

The MPG Obfuscation

Petrol and diesel prices in the UK have been metricised to pence per litre for as long as I can remember (I would guess almost 20 years). Cars in the UK still use MPG in manuals and electronic displays. And the common language is certainly still in terms of MPG. Car manuals also quote efficiency figures in litres per 100km or similar - but that is still obfuscated by the fact that we use miles for judging distances.

I want to easily get to a pence per mile figure.

So here are the figures...
  • 1 imperial gallon = 4.546 litres
  • 1 mile = 1.609km
Using dimensional analysis you can see that to get to pence per mile you need to multiply your pence-per-litre by litres-per-gallon and divide by miles-per-gallon. Here's a table showing pence per mile for a few typical values (at the moment).


20mpg 30mpg 40mpg 50mpg 60mpg
100p 23 15 11 9 8
105p 24 16 12 10 8
110p 25 17 13 10 8
115p 26 17 13 10 9
120p 27 18 14 11 9
125p 28 19 14 11 9
130p 30 20 15 12 10
135p 31 20 15 12 10
140p 32 21 16 13 11

There's a lot to be said for reviewing the 40p per mile tax-exempt approved mileage allowance (for business usage). This was set many years ago before the recent significant rises in fuel prices.

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