olymmath

KöMaL 2007 C898

    The length of the sides of the regular triangle ABC is 6 cm. A bug starts at the vertex CCof the triangle and crawls uniformly towards vertex AA at a speed of 4 mm/s. At the same time, another bug starts from vertex BB and crawls towards vertex CC at a speed of 3 mm/s. How long does it take for the distance between the bugs to reach the smallest value, and what is the smallest distance?

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