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MathNet 2000 — Math Olympiad Vault Question 110

Math Olympiad Vault · MathNet 2000 — Math Olympiad Vault

Question 110

A train $500$ meters long passes at constant speed through a tunnel $3$ kilometers long. The time from the last carriage entering the tunnel until the locomotive emerges at the other end is $50$ seconds. The train's speed is:
(A) $50\ \mathrm{km/h}$
(B) $216\ \mathrm{km/h}$
(C) $252\ \mathrm{km/h}$
(D) $300\ \mathrm{km/h}$
(E) None of the above.