GATE CE 2015 Set 2 — Question 61
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumFundamental Flow RelationshipsTraffic Studies & FlowTransportation EngineeringSpeed-Density-Flow
Transportation Engineering → Traffic Studies & Flow → Fundamental Flow Relationships
Last updated
Question
The relation between speed (in km/h) and density (number of vehicles / km) for a traffic stream on a road is . The capacity on this road is ________ vph (vehicles/hour).
Correct answer
1750 to 1750
Solution
The relationship between speed () and density () is given as .
Traffic flow () is the product of speed and density:
To find the capacity (maximum flow), we differentiate with respect to and set it to zero: This is the density at capacity ().
The speed at capacity () is: The capacity () is:
Traffic flow () is the product of speed and density:
To find the capacity (maximum flow), we differentiate with respect to and set it to zero: This is the density at capacity ().
The speed at capacity () is: The capacity () is:
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 Traffic Studies & Flow
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