A hare and tortoise compete in race over a course 1000 m long. The tortoise drifts slowly to the goal line with maximum speed of 0.2 m/s. The hare runs at a maximum speed of 8 m/s towards the finish line for 800 m and then stops to tease the tortoise. How much closest (in m) to the finish line can the hare let the tortoise approach before resuming the race so that it (hare) will not lose.

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