Thursday, April 18, 2024
Science

# Can you solve it? Police academy | Mathematics

A robber is on the loose. Today’s puzzle is to locate them. In the robber’s favour, they can run faster than any police officer, but in the force’s favour, it has at its disposal an infinite amount of officers.

Police chase

The streets of a city are a square grid that extends infinitely in all directions. One of the streets, Broadway, has a police offer stationed every 100 blocks.

A robber is somewhere in the city.

Can you devise a strategy that guarantees the criminal will be spotted by the police at some point in time?

Relevant information: The robber and the police officers are in a street at all times. The robber has a finite maximum running speed, which is faster than any officer’s. The police can see infinitely far.

I’ll be back at 5pm UK with the solution.

Meanwhile, I would like to remind you of your rights as a reader of this column. You are not obliged to say anything, but if you do write anything below the line PLEASE NO SPOILERS or it will definitely be used as evidence against you.