Sunday, 16 December 2007

And the answer is...

I half did a Maths degree, or should that be I did a degree which was half Maths? Either way the statement probably still stands. I didn't work hard and subsequently didn't over achieve (or even achieve that much).

Anyway - I came across a mathematical problem that shouldn't trouble someone studying for their GCSE but for me it fell into the too complicated box.

A car runs more fuel efficiently when it is lighter. So a car with a near empty fuel tank runs more efficiently than one with a full tank.

A car uses, generally, an excess of fuel on start up, and less after running for a while.

So if a car weighs 1560 kg (weight is unladen and assumes 90% fluid levels) and has a 70 litre tank, and if we assume that the car is refuelled when the gauge indicates 20 kilometers of travel remaining, and we say that the fuel used on start up is x, then if y is the optimal refuelling level for maximum fuel efficiency, what is the equation that will give us y, if we have x? And what other variables or knowns have been omitted from the information provided.

Answers via comments please, or a postcard to the usual address.

1 comment:

Rana said...

A postcard to the usual address will be delivered to your desk tomorrow morning. It's an interlinked set of formulas with many extra variables, much too big for a comment box, but as you said yourself "it's all in the details" You asked for it ;)