Maths prize for 22 April 2016: crossing the desert


You want to cross a huge desert. You have some Toyota pick-up trucks and drivers, and an unlimited supply of fuel.

But each pickup can travel only 360km on a full tank, and the desert is too dangerous to leave fuel dumps or for pickups or drivers to wait or stay in the desert. All you can do to extend the range is, for example, to send out two pickups together to ⅓ their individual range, siphon half the remaining fuel (i.e. ⅓ tank) from pickup A into pickup B, and then have pickup A return to base and pickup B to continue to 1⅓ of range, 480km.

How much better than that can you do with an unlimited number of pickups and drivers?

A Freddo for every complete solution or well-reasoned near-solution.

Answers to Mr Adebayo, Mr Osborn, or Mr Thomas by: 22 April 2016