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While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) is
Correct answer is between '2.9,3.1'. Can you explain this answer?
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Verified Answer
While traveling along and against the traffic stream, a moving observe...
Solution: q = traffic flow
k = traffic density
Vw = velocity of test vehicle along the stream
Va = velocity of test vehicle against the stream
⇒ q – kVw = 50
⇒ q – k × 20 = 50
q + kVa = 200
⇒ q + k × 30 = 200
Solving equation (i) and (ii), we get
k = 3 Veh/km
Most Upvoted Answer
While traveling along and against the traffic stream, a moving observe...
Calculating Traffic Density:
- The formula to calculate traffic density is given by:
Density = Flow / Speed
Calculating Traffic Density while traveling along the traffic stream:
- Flow along the traffic stream = 50 vehicles/hr
- Speed along the traffic stream = 20 km/hr
- Density along the traffic stream = 50 / 20 = 2.5 vehicles/km
Calculating Traffic Density while traveling against the traffic stream:
- Flow against the traffic stream = 200 vehicles/hr
- Speed against the traffic stream = 30 km/hr
- Density against the traffic stream = 200 / 30 = 6.67 vehicles/km
Finding the average traffic density:
- To find the average traffic density, we take the average of the two densities calculated:
Average density = (2.5 + 6.67) / 2 = 4.585 vehicles/km
Conclusion:
- The correct answer falls between 2.9 and 3.1, which is close to the average density calculated.
- Therefore, the average traffic density of the traffic stream is approximately 4.6 vehicles/km.
- The formula to calculate traffic density is given by:
Density = Flow / Speed
Calculating Traffic Density while traveling along the traffic stream:
- Flow along the traffic stream = 50 vehicles/hr
- Speed along the traffic stream = 20 km/hr
- Density along the traffic stream = 50 / 20 = 2.5 vehicles/km
Calculating Traffic Density while traveling against the traffic stream:
- Flow against the traffic stream = 200 vehicles/hr
- Speed against the traffic stream = 30 km/hr
- Density against the traffic stream = 200 / 30 = 6.67 vehicles/km
Finding the average traffic density:
- To find the average traffic density, we take the average of the two densities calculated:
Average density = (2.5 + 6.67) / 2 = 4.585 vehicles/km
Conclusion:
- The correct answer falls between 2.9 and 3.1, which is close to the average density calculated.
- Therefore, the average traffic density of the traffic stream is approximately 4.6 vehicles/km.
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While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) isCorrect answer is between '2.9,3.1'. Can you explain this answer?
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While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) isCorrect answer is between '2.9,3.1'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) isCorrect answer is between '2.9,3.1'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) isCorrect answer is between '2.9,3.1'. Can you explain this answer?.
While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) isCorrect answer is between '2.9,3.1'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) isCorrect answer is between '2.9,3.1'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) isCorrect answer is between '2.9,3.1'. Can you explain this answer?.
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