On a road going out of the city, lights of the last traffic signal glow green for 1 min and red for 2 min. After the traffic signal, the road is straight and vehicles run at their constant speeds that lie in the range of 60 km/h to 80 km/h. This mode of operation of traffic lights causes the vehicles to come out of the city in groups. Some distance away from the traffic signal, these groups merge and become indistinguishable. Assuming that the vehicles acquire their constant speeds after the traffic signal in negligible time, find the distance from the traffic signal beyond which the groups are merged If the range of speed of the vehicle becomes wider, what happens to the above distance?
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The groups become indistinguishable 8.0km after the traffic signal.
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