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MathNet 2006 — Part 03 Question 43

Math Olympiad Vault · MathNet 2006 — Part 03

Question 43

A racetrack track is $20~\mathrm{km}$ long and circular in shape. The points marked on the track are: $A$, which is the starting point, $B$ which is $5~\mathrm{km}$ from $A$ in the direction of travel, $C$ which is $3~\mathrm{km}$ from $B$ in the direction of travel, $D$ which is $4~\mathrm{km}$ from $C$ in the direction of travel and $E$ which is distant $5~\mathrm{km}$ from $D$ in the direction of travel. A car that starts from $A$ and stops after traveling through $367~\mathrm{km}$ will be closest to which of the 5 points?

(A) $A$

(B) $B$

(C) $C$

(D) $D$

(E) $E$