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MathNet 2026 — Part 02 Question 7

Math Olympiad Vault · MathNet 2026 — Part 02

Question 7

A train line is divided into 10 sections by stations $A, B, C, D, E, F, G, H, I, J$ and $K$. The distance from $A$ to $K$ is equal to $56~\mathrm{km}$. The path of two consecutive sections is always less than or equal to $12~\mathrm{km}$ and the path of three consecutive sections is always greater than or equal to $17~\mathrm{km}$. Determine the distances:
a) from $J$ to $K$;
b) from $D$ to $H$;
c) from $B$ to $G$.