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MathNet 2016-part-06 — 184 problems (EN–VI) Question 161

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 161

Andriy, Bogdan and Olesia were walking by the same road from home to the school. Andriy was walking with velocity equal to $a$ km/h for $(2-b)$ hours, Bogdan was walking with velocity equal to $b$ km/h for $(2-c)$ hours, Olesia was walking with velocity equal to $c$ km/h for $(2-a)$ hours, where $a, b, c$ are some real numbers. What is the distance between home and school if it is known that it is equal to an integer number?