GATE CE · Transportation Engineering

Traffic Engineering Practice Questions

Generate GATE-level questions on Traffic Engineering in Transportation Engineering. Focus on core concepts, previous year patterns, and numerical problem-solving techniques.

81 questions · 20 PYQs · 0 AI practice · GATE CE 2027

Q21GATE 2021NAT

Spot speeds of vehicles observed at a point on a highway are 40, 55, 60, 65 and 80 km/h. The space-mean speed (in km/h, round off to two decimal places) of the observed vehicles is ______________

🚀 Solve in Practice Mode

📖 Explanation

\begin{aligned} V_{1}=40, V_{2}=55, V_{3}=60, & V_{4}=65, V_{5}=80 \\ V_{S}=&\left(\frac{n}{\frac{1}{V_{1}}+\frac{1}{V_{2}}+\ldots+\frac{1}{V_{n}}}\right)=\frac{1}{40}+\frac{1}{55}+\frac{1}{60}+\frac{1}{65}+\frac{1}{80} \\ =& 56.99 \mathrm{kmph} \end{aligned}

Q22GATE 2021NAT

Vehicular arrival at an isolated intersection follows the Poisson distribution. The mean vehicular arrival rate is 2 vehicle per minute. The probability (round off to two decimal places) that at least 2 vehicles will arrive in any given 1-minute interval is _____

🚀 Solve in Practice Mode

📖 Explanation

$P(n,t)=\frac{(\lambda t)^n e^{-\lambda t}}{n!}$ $\lambda =2 \;v/m$ $t = 1 \text{ minute}$ probability of at least 2 vehicles arriving in 1 ? minute is given by, $1-(P(0,1)+P(1,1))$

\begin{aligned} &= 1-\left \{ \frac{(2 \times 1)^0 e^{-2(1)}}{0!}+\frac{(2 \times 1)^1 e^{-2(1)}}{1!} \right \}\\ &=1-\left \{ \frac{1(e^{-2})}{1}+ \frac{2(e^{-2})}{1} \right \} \\ &= 1-(e^{-2}+2e^{-2})\\ &=1-3e^{-2}=0.59 \end{aligned}