I like the (somewhat well known) task of minimizing the time to cross a bridge in the dark, knowing that the bridge can only carry two persons, that there is only one flashlight needed, and that these 4 persons can cross the bridge in 1, 2, 5 and 10 minutes respectively. Hint: you can do better than 19 minutes. I also like one where you need to get three persons to cross a certain distance with one bike, knowing that the three can walk at speeds 6, 6, and 12 km/h but cycle at 15, 15, and 30 km/h respectively. The bike can be left lying on the road. The solution was somewhat surprising to me. Of course I don't remember where I saw them. The first one should be googleable, and I just made the numbers up for the second one. Cheers, Sébastien On 17 February 2016 at 16:34, Simon Plouffe <simon.plouffe@gmail.com> wrote:
Hello,
what about walking in the rain and trying to optimize the speed ? and not getting too wet..
https://www.quora.com/What-is-the-optimum-walking-speed-to-prevent-getting-w...
Is this a good example ? or maybe the Nash equilibrium ?
does not look intuitive at all to me.
https://en.wikipedia.org/wiki/Nash_equilibrium
Best regards, Simon Plouffe _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun