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**Question 1. The speed-density relationship of a highway is given asu = 100 - 0.5kwhere, u = speed in km per hour, k = density in vehicles per km. The maximum flow (in vehicles per hour, round off to the nearest integer) is _____ [2019 : 2 Marks, Set-II]Solution: **

Solution:

Service rate = 50 veh/min

R= 30 sec, G

Time corresponding to which no. of arrival becomes same as no. of departure.

=> 20 x (R + t) =50t

20 x (30 + t) =50t

600 + 20t =50t

Solution:

(a)

(b)

(c)

(d)

Answer:

Solution:

Solution:

V

k

As per linear model (green-shield)

q = vk

For initial values of k, v is constant

âˆ´ q will very linearly with k

Later on, v varies linearly with k.

âˆ´ q will vary parabolically with k.

**Question 13. The safety within a roundabout and the efficiency of a roundabout can be increased, respectively by [2017 : 2 Marks, Set-II](a) increasing the entry radius and increasing the exit radius(b) increasing the entry radius and decreasing the exit radius(c) decreasing the entry radius and increasing the exit radius(d) decreasing the entry radius and decreasing the exit radius Answer: **(c)

At time, t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate, v(in vph), throughout the cycle. Which one of the following statements is TRUE? [2017 : 2 Marks, Set-I]

(a) v = 600 vph, and for this cycle, the average stopped delay per vehicle = 30 seconds.

(b) s = 1800 vph, and for this cycle, the average stopped delay per vehicle = 28.125 seconds.

(c) v = 600 vph, and for this cycle, the average stopped delay per vehicle = 45 seconds.

(d) s = 1200 vph, and for this cycle, the average stopped delay per vehicle = 28.125 seconds.

Answer:

Solution:

Solution:

Î» = 900 veh/hour

Probability that time gap (time headway) betwen successive vehicles is greater than 8 seconds,

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