The offender rushed past the traffic police post in a car at a speed v1 = 108 km/h. After t1 = 20 s, the traffic police inspector followed him on a motorcycle and, accelerating for t2 = 40 s, gained speed v2 = 144 km/h. At what distance S from the traffic police post will the inspector catch up with the violator if the inspector, after acceleration, moves at speed v2?

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