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If the average centre to centre spacing of vehicle is 25 m, then the basic capacity of a traffic lane at a speed of 45 kmph is - 
  • a)
    1500
  • b)
    1800
  • c)
    2250
  • d)
    3000
Correct answer is option 'B'. Can you explain this answer?
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Calculation of Basic Capacity of a Traffic Lane

Given:
Average centre to centre spacing of vehicle = 25 m
Speed of vehicles = 45 kmph

We know that the basic capacity of a traffic lane is given by:
Capacity = (Speed * Density * Space Headway) / (Length of Vehicle)

where,
Density = 1 / (Centre to Centre Spacing of Vehicles)
Space Headway = (Length of Vehicle) / (Speed of Vehicles)

Calculation of Density and Space Headway

Given:
Average centre to centre spacing of vehicle = 25 m
Speed of vehicles = 45 kmph

Density = 1 / (Centre to Centre Spacing of Vehicles)
Density = 1 / 25
Density = 0.04 vehicles/m

Space Headway = (Length of Vehicle) / (Speed of Vehicles)
Space Headway = (5 m) / (45 kmph)
Space Headway = 0.002222 hr or 8 sec

Calculation of Basic Capacity

Capacity = (Speed * Density * Space Headway) / (Length of Vehicle)
Capacity = (45 * 0.04 * 0.002222) / 5
Capacity = 0.04 vehicles/sec or 1800 vehicles/hr

Therefore, the basic capacity of a traffic lane at a speed of 45 kmph is 1800 vehicles/hr. Hence, option B is the correct answer.
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If the average centre to centre spacing of vehicle is 25 m, then the basic capacity of a traffic lane at a speed of 45 kmph is -a)1500b)1800c)2250d)3000Correct answer is option 'B'. Can you explain this answer?
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