MathDB

The escalator of the station champion butcher has this property that if

m

persons are on it, then it's speed is

m^{-\alpha}

where

\alpha

is a fixed positive real number. Suppose that

n

persons want to go up by the escalator and the width of the stairs is such that all the persons can stand on a stair. If the length of the escalator is

l

, what's the least time that is needed for these persons to go up? Why?
proposed by Mohammad Ghiasi

Problem Statement