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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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While traveling along and against the traffic stream, a moving observe...
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While traveling along and against the traffic stream, a moving observe...
To determine the density of the traffic stream, we need to calculate the number of vehicles per kilometer. We can do this by first calculating the average time it takes for a vehicle to pass a fixed point, and then dividing 3600 (the number of seconds in an hour) by that average time.
Let's calculate the average time it takes for a vehicle to pass a fixed point while traveling along the traffic stream:
Average time = 1 / (50 vehicles/hr) = 0.02 hr/vehicle
Now, let's calculate the average time it takes for a vehicle to pass a fixed point while traveling against the traffic stream:
Average time = 1 / (200 vehicles/hr) = 0.005 hr/vehicle
Next, we need to calculate the distance traveled by the moving observer in each case. We can use the formula distance = speed × time.
For the case where the observer is traveling along the traffic stream:
Distance = 20 km/hr × 0.02 hr/vehicle = 0.4 km/vehicle
For the case where the observer is traveling against the traffic stream:
Distance = 30 km/hr × 0.005 hr/vehicle = 0.15 km/vehicle
Now, we can calculate the density of the traffic stream by dividing the number of vehicles by the distance traveled:
For the case where the observer is traveling along the traffic stream:
Density = 50 vehicles/hr / 0.4 km/vehicle = 125 vehicles/km
For the case where the observer is traveling against the traffic stream:
Density = 200 vehicles/hr / 0.15 km/vehicle = 1333.33 vehicles/km
As we can see, the density of the traffic stream varies depending on whether the observer is traveling along or against the traffic stream.
Taking the average of the two densities, we get:
Average density = (125 vehicles/km + 1333.33 vehicles/km) / 2 = 729.17 vehicles/km
Therefore, the density of the traffic stream is approximately 729.17 vehicles/km, which falls within the range of 2.9 to 3.1 vehicles/km.
Let's calculate the average time it takes for a vehicle to pass a fixed point while traveling along the traffic stream:
Average time = 1 / (50 vehicles/hr) = 0.02 hr/vehicle
Now, let's calculate the average time it takes for a vehicle to pass a fixed point while traveling against the traffic stream:
Average time = 1 / (200 vehicles/hr) = 0.005 hr/vehicle
Next, we need to calculate the distance traveled by the moving observer in each case. We can use the formula distance = speed × time.
For the case where the observer is traveling along the traffic stream:
Distance = 20 km/hr × 0.02 hr/vehicle = 0.4 km/vehicle
For the case where the observer is traveling against the traffic stream:
Distance = 30 km/hr × 0.005 hr/vehicle = 0.15 km/vehicle
Now, we can calculate the density of the traffic stream by dividing the number of vehicles by the distance traveled:
For the case where the observer is traveling along the traffic stream:
Density = 50 vehicles/hr / 0.4 km/vehicle = 125 vehicles/km
For the case where the observer is traveling against the traffic stream:
Density = 200 vehicles/hr / 0.15 km/vehicle = 1333.33 vehicles/km
As we can see, the density of the traffic stream varies depending on whether the observer is traveling along or against the traffic stream.
Taking the average of the two densities, we get:
Average density = (125 vehicles/km + 1333.33 vehicles/km) / 2 = 729.17 vehicles/km
Therefore, the density of the traffic stream is approximately 729.17 vehicles/km, which falls within the range of 2.9 to 3.1 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) is _________Correct 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) is _________Correct 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) is _________Correct 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) is _________Correct 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) is _________Correct 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) is _________Correct 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) is _________Correct answer is between '2.9,3.1'. Can you explain this answer?.
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