Question

What will be the theoretical maximum capacity (to nearest 10 units) for a single lane of highway given that the speed of the traffic stream is 40 kmph?
1. 3000 veh/h
2. 2860 veh/h
3. 2010 veh/h
4. 2510 veh/h

Answer 1

Correct Answer - Option 2 : 2860 veh/h

Concept:

Theoretical maximum capacity is given by,

\(C = \frac{{1000\;V}}{S}\)

Where,

 C = is capacity is vehicle/hr

  V = speed in km/hr

  S = minimum clear distance between two vehicles

∴ S = 0.2 V + 6 ( if V is in kmph ) 

 (or) S = 0.7 v + 6 ( if v is in m/s )

Calculation:

Given,

 V = 40 kmph, 

 S = 0.2 × 40 + 6 = 14 m

\(C = \frac{{1000\;V}}{S}\)

 C = (1000 × 40 )/14 

⇒ C = 2857.14 

 As asked to rounded off to 10 units ≈ 2860 Veh/hr

 ∴ Theoretical Maximum capacity is 2860 veh/h