MathDB

every 3 km turns to the left, every 7 turns to the right

Source: 2013 All-Ukrainian Correspondence MO of magazine ''In the World of Mathematics'', grades 5-12 p12

June 24, 2022

geometrycombinatorial geometryUkraine Correspondence

Problem Statement

Krut and Vert go by car from point

A

to point

B

. The car leaves

A

in the direction of

B

, but every

3

km of the road Krut turns

90^o

to the left, and every

7

km of the road Vert turns

90^o

to the right ( if they try to turn at the same time, the car continues to go in the same direction). Will Krut and Vert be able to get to

B

if the distance between

A

and

B

100

km?