Wait for Bus or Walk January 24, 2008Posted by Andre Vellino in Logic.
Here’s a(small) question to which I’ve always wanted to know the answer: is it more effective to wait for the bus or walk to the next bus stop?
Justin has to travel a distance of d miles along a bus route. Along this route, there are n bus stops i, each spaced at a distance of d_i from the starting point. At each bus stop, Justin is faced with a choice: to walk or to wait. If he walks on, he can still catch a bus at the next bus stop–but if a bus passes him while he walks, he is almost assured a longer wait.