The traffic volume at the north-south approach of an arterial road intersection is 720 veh/h and 25% of the traffic take right turns. A right-turn-only lane at the signalised intersection of this approach can store a maximum of six vehicles. The cycle time of the traffic light is 90 seconds, the green time allocated for right turns can accommodate a maximum of six vehicles. Determine - the volume (veh/hr) of vehicles taking right turns - the average number of vehicles taking right turns in 90 seconds - the probability of no vehicles staying on the right-turn-only lane during an allocated green time - the probability that there will be a backup of vehicles waiting to turn right thus blocking the lane; and - show the situation of the north-south approach using an appropriate sketch
The traffic volume at the north-south approach of an arterial road intersection is 720 veh/h and 25% of the traffic take right turns. A right-turn-only lane at the signalised intersection of this approach can store a maximum of six vehicles. The cycle time of the traffic light is 90 seconds, the green time allocated for right turns can accommodate a maximum of six vehicles. Determine
- the volume (veh/hr) of vehicles taking right turns
- the average number of vehicles taking right turns in 90 seconds
- the probability of no vehicles staying on the right-turn-only lane during an allocated green time
- the probability that there will be a backup of vehicles waiting to turn right thus blocking the lane; and
- show the situation of the north-south approach using an appropriate sketch
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