MathDB

In a country, one can get from some point

A

to any other point either by walking, or by calling a cab, waiting for it, and then being driven. Every citizen always chooses the method of transportation that requires the least time. It turns out that the distances and the traveling times are as follows:

1

km takes

10

min,

2

km takes

15

min,

3

km takes

17.5

min. We assume that the speeds of the pedestrian and the cab, and the time spent waiting for cabs, are all constants. How long does it take to reach a point which is

6

km from

A

Problem Statement