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Home » Average speed: \(\frac3003.5 \approx 85.71\) km/h. - Sterling Industries

Average speed: \(\frac3003.5 \approx 85.71\) km/h. - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Yet to satisfy Olympiad format and suppose a valid configuration, reconsider: perhaps the edge length is not fixed by $ AB $, etc., but we are to find $ D $ such that all edges are equal, and $ D $ has integer coordinates.

📌 But since the pairwise distances among $ A, B, C $ are not equal, such a regular tetrahedron cannot exist.

📌 But to match Olympiad style with a constructive answer, suppose instead the three points form an equilateral triangle of side $ s $, and $ D $ is above the centroid.

📌 Therefore, after rigorous analysis, we conclude:

📌 Given the analysis of the original points leads to contradiction, and no integer $ D $ satisfies equal distances, we conclude:

📌 Thus, the problem has no solution under the given constraints.

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