GATE CE 2017 Set 1 — Question 33
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33HardTraffic SignalsIntersections & SignalsTransportation Engineering
Transportation Engineering → Intersections & Signals → Traffic Signals
Last updated
Question
The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of seconds is shown in the figure (not drawn to scale).
At time , the light has just turned red. The effective green time is seconds, during which vehicles discharge at the saturation flow rate, (in vph). Vehicles arrive at a uniform rate, (in vph), throughout the cycle. Which one of the following statements is TRUE?
Correct answer
(B) s = 1800 vph, and for this cycle, the average stopped delay per vehicle = 28.125 seconds
Solution
1.Analyze Arrival Rate ():
- Cycle length , Effective green , Effective red .
- From the graph, at (end of red), queue length vehicles.
- .
- Queue clears at . During the of green time ( to ), the initial queue of plus new arrivals are cleared.
- New arrivals in vehicles.
- Total vehicles cleared vehicles.
- .
- Total delay = Area under the queue length vs time curve .
- Total vehicles arriving in one cycle vehicles.
- Average stopped delay per vehicle .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Intersections & Signals
2026 Set 1 Q19Corrections are applied to the basic length of the runway strip considering: (i) The elevation …2026 Set 2 Q23An incident occurred on one side of a median on a four-lane dual carriageway road section. This…2026 Set 2 Q24Which one of the following statements is TRUE?2026 Set 1 Q24Cant on a Broad Gauge railway track is calculated for an equilibrium speed (in km/h),…2026 Set 2 Q25The primary purpose of the Windrose diagram is for the design of