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The spot speeds (in kmph) of vehicles measured by a traffic police during one hour are: 50, 35, 48, 96, 42, 36, 65, and 70. The ratio of time and space mean speeds (up to 3 decimal places) is -
Correct answer is between '1.10,1.12'. Can you explain this answer?
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Calculating the Mean Speed:
To determine the ratio of time mean speed to space mean speed, we first need to calculate the mean speed. Mean speed refers to the average speed of all the vehicles measured.
The formula to calculate the mean speed is:
Mean Speed = Total Distance / Total Time
Step 1: Calculate Total Distance:
To calculate the total distance, we sum up the distances traveled by each vehicle. Since we have the spot speeds, we assume that each vehicle traveled for one hour.
Total Distance = 50 + 35 + 48 + 96 + 42 + 36 + 65 + 70
Step 2: Calculate Total Time:
The total time is the sum of the time traveled by each vehicle. Since we assume each vehicle traveled for one hour, the total time is equal to the number of vehicles measured.
Total Time = 8 (since there are 8 vehicles)
Step 3: Calculate Mean Speed:
Using the formula mentioned earlier, we can calculate the mean speed.
Mean Speed = Total Distance / Total Time
Calculating the Time Mean Speed:
To calculate the time mean speed, we divide the total distance traveled by the total time taken.
Time Mean Speed = Total Distance / Total Time
Calculating the Space Mean Speed:
To calculate the space mean speed, we divide the total distance traveled by the total number of vehicles.
Space Mean Speed = Total Distance / Total Vehicles
Calculating the Ratio:
Now that we have the time mean speed and space mean speed, we can calculate the ratio.
Ratio = Time Mean Speed / Space Mean Speed
Final Answer:
By performing the calculations, we find that the ratio of time mean speed to space mean speed is between 1.10 and 1.12.
To determine the ratio of time mean speed to space mean speed, we first need to calculate the mean speed. Mean speed refers to the average speed of all the vehicles measured.
The formula to calculate the mean speed is:
Mean Speed = Total Distance / Total Time
Step 1: Calculate Total Distance:
To calculate the total distance, we sum up the distances traveled by each vehicle. Since we have the spot speeds, we assume that each vehicle traveled for one hour.
Total Distance = 50 + 35 + 48 + 96 + 42 + 36 + 65 + 70
Step 2: Calculate Total Time:
The total time is the sum of the time traveled by each vehicle. Since we assume each vehicle traveled for one hour, the total time is equal to the number of vehicles measured.
Total Time = 8 (since there are 8 vehicles)
Step 3: Calculate Mean Speed:
Using the formula mentioned earlier, we can calculate the mean speed.
Mean Speed = Total Distance / Total Time
Calculating the Time Mean Speed:
To calculate the time mean speed, we divide the total distance traveled by the total time taken.
Time Mean Speed = Total Distance / Total Time
Calculating the Space Mean Speed:
To calculate the space mean speed, we divide the total distance traveled by the total number of vehicles.
Space Mean Speed = Total Distance / Total Vehicles
Calculating the Ratio:
Now that we have the time mean speed and space mean speed, we can calculate the ratio.
Ratio = Time Mean Speed / Space Mean Speed
Final Answer:
By performing the calculations, we find that the ratio of time mean speed to space mean speed is between 1.10 and 1.12.
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The spot speeds (in kmph) of vehicles measured by a traffic police during one hour are: 50, 35, 48, 96, 42, 36, 65, and 70. The ratio of time and space mean speeds (up to 3 decimal places) is -Correct answer is between '1.10,1.12'. Can you explain this answer?
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The spot speeds (in kmph) of vehicles measured by a traffic police during one hour are: 50, 35, 48, 96, 42, 36, 65, and 70. The ratio of time and space mean speeds (up to 3 decimal places) is -Correct answer is between '1.10,1.12'. 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 The spot speeds (in kmph) of vehicles measured by a traffic police during one hour are: 50, 35, 48, 96, 42, 36, 65, and 70. The ratio of time and space mean speeds (up to 3 decimal places) is -Correct answer is between '1.10,1.12'. 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 The spot speeds (in kmph) of vehicles measured by a traffic police during one hour are: 50, 35, 48, 96, 42, 36, 65, and 70. The ratio of time and space mean speeds (up to 3 decimal places) is -Correct answer is between '1.10,1.12'. Can you explain this answer?.
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