ok it's gonna have to be
geek mode time....
This is going to be a long answer but it does make sense, so hear me out
the difference in tread between a new tyre and a barely legal tyre is around 8mm, whichs means that your rolling circumference will be bigger on the new tyre, ok with that so far?
So for a new VTR tyre 185/55
the radius (from centre to the top of the tyre) will be 177.8mm
now imagine your barely legal tyre
the radius (from centre to the top of the tyre) will be 169.8mm
so you're looking at a difference of 4.5% in rolling radius... not only does this effect speedo reading, it will affect acceleration, trip distance and torque to the road.
You will find with a smaller wheel the engine doesnt have to work as hard to move the car, this is due to the increased torque to the road (this means better acceleration too). hence you tend to see a slight improvement in fuel figures if you drive moderately.
The other thing is that you'll find that the distance between places seems to 'go up'. This is due to the wheel having to rotate more thus the trip distance will appear larger.
So you get slightly better fuel consumption and more (apparent) distance on smaller
tyres (ie. old barely legal
tyres).
So with larger
tyres (ie. new ones) the opposite applies - which is why you might suddenly be experiencing a prob with fuel economy.
There are other factors which are specifically to do with the type of tyre i.e. quality and performance. for instance... Michelins Eco
tyres have been constructed to wear less (but this also limits grip) which gives less rolling resistance (again improves fuel economy).
Performance
tyres will have a high grip factor which means that rolling resistance is increased (which will have a negative effect on fuel economy)
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if that doesnt deserve rep i dont know what will

lol