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MathNet 2010 — Part 02 Question 28

Math Olympiad Vault · MathNet 2010 — Part 02

Question 28

A triangular path - Janet walks along a triangular way $\triangle ABC$, with the side $AB$ measuring $1992~\mathrm{m}$. She spends 24 minutes to travel through this side $AB$ and then, with the same speed, she travels the other side $BC$ followed by the hypotenuse $CA$ in 2 hours and 46 minutes. What is the length of the side $BC$?