olymmath

OBM 2000 Problem 4

    An infinite road has traffic lights at intervals of 1500m. The lights are all synchronised and are alternately green for 32\frac 32 minutes and red for 1 minute. For which vv can a car travel at a constant speed of vv m/s without ever going through a red light?

    Dataset text AI-MO AoPS. Quoted with source.

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