What will be the theoretical maximum capacity for a single lane of highway, given that the speed of the traffic stream is 50 kmph?
- A3125 veh/hCorrect
- B3225 veh/h
- C3325 veh/h
- D3425 veh/h
Solution
Concept
Theoretical Maximum Capacity
Formula
C = (1000 × V) / S, where S = 0.2V + L
Step-by-step solution
1. Calculate space headway: S = (0.2 \* 50) + 6 = 16 m 2. Calculate maximum capacity: C = (1000 \* 50) / 16 = 3125 veh/h
Shortcut
To quickly solve this, use the mental shortcut: at 50 km/h, space headway S is always 0.2(50) + 6 = 16 m. Then calculate 50,000 / 16 = 3125 veh/h.
Common mistake
A common mistake is forgetting to add the standard vehicle length (L = 6 m) to the minimum space headway formula (S = 0.2V + L), using only S = 0.2V = 10 m, or miscalculating the center-to-center headway S.
Correct answer: A) 3125 veh/h