Shaurya and Arjit take a straight route to the same terminal point and travel with constant speeds. At the initial moment, the positions of the two and the terminal point form an equilateral triangle. When Arjit covers a distance of 80 km, the triangle becomes right-angled. When Arjit was at a distance of 120 km from the terminal point, Shaurya arrived at the terminal point. Assuming that there are integral distances throughout the movements described, find the distance between them at the initial moment.

Question

Shaurya and Arjit take a straight route to the same terminal point and travel with constant speeds. At the initial moment, the positions of the two and the terminal point form an equilateral triangle. When Arjit covers a distance of 80 km, the triangle becomes right-angled. When Arjit was at a distance of 120 km from the terminal point,  Shaurya arrived at the terminal point. Assuming that there are integral distances throughout the movements described, find the distance between them at the initial moment.

anonymous · Answer

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