Question

What will be the theoretical maximum capacity for a single lane of highway, if the given speed of the traffic stream is 60 kmph and the average center-to-center spacing of the vehicle is 13.98 m?

• A. 4391.84
• B. 4491.84
• C. 4591.84
• D. 4291.84

Hint:

Highway capacity depends on speed and spacing. Closer spacing reduces capacity, while higher speeds increase it.

Answer 1

The Correct Option is A

Step 1: Formula for traffic capacity.
The theoretical maximum capacity \( C \) is given by: \[ C = \frac{1000 \times V}{S} \] where, - \( V = 60 \, \text{kmph} = 1000 \, \text{m/min}, \) - \( S = 13.98 \, \text{m} \) (center-to-center spacing).

Step 2: Substitution.
\[ C = \frac{1000 \times 60}{13.98} = \frac{60000}{13.98} \approx 4391.84 \, \text{veh/hr/lane}. \]

Step 3: Conclusion.
The maximum theoretical capacity of the highway lane is 4391.84 vehicles per hour. Hence, the correct answer is (A) 4391.84.