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**Question 1. An observer counts 240 veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one vehicle arriving over a 30-second time interval is _______ . [2014 : 2 Marks, Set-II]****Solution:**** ****Question 2. The average spacing between vehicles in a traffic stream is 50 m, then the density (in veh/km) of the stream is __________ . [2014 : 1 Mark, Set-II]****Solution: ****Question 3. An isolated three-phase traffic signal is designed by Webster's method. The critical flow ratios for three phases are 0.20,0.30, and 0.25 respectively and lost time per phase is 4 seconds. The optimum cycle length (in seconds) is ___________ . [2014 : 2 Marks, Set-I]****Solution: **Sum of the flow,

y = y_{1} + y_{2} + y_{3}

= 0.2 + 0.3 + 0.25 = 0.75

Total lost time in a cycle L = 4 x 3 = 12 sec.

Optimum cycle length,**Question 4. The speed-density (u-k) relationship on a single lane road with unidirectional flow is u = 70-0.7 k, where u is in km/hr and k is in veh/km. The capacity of the road (in veh/hr) i s ___________ . [2014 : 2 Marks, Set-I]****Solution: ****Method-I****Method-II****Question 5. The minimum value of 15 minute peak hour factor on a section of a road is [2014 : 1 Mark, Set-I]****(a) 0.10 ****(b) 0.20 ****(c) 0.25 ****(d) 0.33 ****Answer: **(c)**Solution:****Method-I**

15 min. peak hr factor is used for traffic intersection design,

V_{15} = Maximum 15 minute volume within the peak hr. (veh.)

Maximum value is 1.0 and minimum value is 0.25 Normal range is 0.7 - 0.98**Method-I**

Consider a peak hour with total traffic V.

Let the traffic be divided as such,**Question 6. For two major-roads with divided carriage way crossing at right angle, a full clover leaf interchange with four indirect ramps is provided. Following statements are made on turning movement of vehicles to all direction from both road, identity the correct statement. [2013 : 1 Mark](a) Merging from left is not possible, but diverging to left not possible.(b) Merging from left and diverging to left is possible.(c) Merging from left is possible but diverging is not possible.(d) Neither merging from left nor diverging to left is possible.**

Solution:

Where, P(x) is the probability of x events (vehicle arrivals) in some time interval (t).

X is the mean arrival rate in that interval.

Now, the probability that zero vehicle arrive in an interval t, denoted as P(0), will be same as the probability that the headway (into arrival time) greater than or equal to t.

(a) 52

(b) 58

(c) 67

(d) 75

Answer:

Solution:

Method-II

Capacity per lane

∴ k = 33.32 Veh./km (for single lane)

So, for two lane urban road,

k = 33.32 x 2 = 66.64 ∼ 67

(a) 0.25

(b) 0.33

(c) 0.50

(d) 0.75

Answer:

Solution:

When both roads are two-way then total no . of conflict points, y = 24

(a) 15 s

(b) 25 s

(c) 35 s

(d) 45 s

Answer:

Solution:

Method-I

Average delay

Vehicle 1 arrives at 0 second and departs at 30 seconds.

Vehicle 40 arrivers at 50 seconds and departs at the same time.

Delay for vehicle 1 = 30 second

Delay for vehicle 40 = 0 second

(a)

(b)

(d)

Answer:

(a)

(b)

(c)

(d)

Answer:

If time headway is greater than or equal to time f, then number of vehicles arriving is zero,

(a) circular shape with white background and red border

(b) triangular shape with white background and red border

(c) triangular shape with red background and white border

(d) circular shape with red background and white border

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