MathDB
distance between railway stations

Source: 1993 Swedish Mathematical Competition p2

April 2, 2021
algebra

Problem Statement

A railway line is divided into ten sections by the stations A,B,C,D,E,F,G,H,I,J,KA,B,C,D,E,F, G,H,I,J,K. The length of each section is an integer number of kilometers and the distacne between AA and KK is 5656 km. A trip along two successive sections never exceeds 1212 km, but a trip along three successive sections is at least 1717 km. What is the distance between BB and GG? https://cdn.artofproblemsolving.com/attachments/1/f/202ddf633ed6da8692bf4d0b1fc0af59548526.png