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a man Travels on third length of a straight road with a constant speed of 40 metre per second and the remembering portion of the road with a constant speed of 60 metre per second then calculate it is average speed?
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?a man Travels on third length of a straight road with a constant spee...
Calculation of Average Speed:
- First, calculate the total distance traveled by the man. Since he travels one-third of the road with a speed of 40 m/s and the remaining portion with a speed of 60 m/s, we can find the total distance covered by adding the distances traveled at each speed.
- Let the total length of the road be L. Therefore, the man travels L/3 distance at 40 m/s and 2L/3 distance at 60 m/s.
- Distance traveled at 40 m/s = (L/3) meters
- Distance traveled at 60 m/s = 2(L/3) meters = 2L/3 meters
- Total distance traveled = (L/3) + (2L/3) = L meters
- Next, calculate the total time taken to cover the entire distance. To find the time taken, we divide the distance by the speed for each segment of the road and then add the times together.
- Time taken to cover distance at 40 m/s = (L/3) / 40 = L/120 seconds
- Time taken to cover distance at 60 m/s = (2L/3) / 60 = L/90 seconds
- Total time taken = (L/120) + (L/90) = 3L/360 + 4L/360 = 7L/360 seconds
- Finally, calculate the average speed of the man by dividing the total distance traveled by the total time taken. This will give us the overall average speed of the man for the entire journey.
- Average Speed = Total Distance / Total Time = L / (7L/360) = 360 / 7 ≈ 51.43 m/s
Therefore, the average speed of the man for the entire journey is approximately 51.43 m/s.
- First, calculate the total distance traveled by the man. Since he travels one-third of the road with a speed of 40 m/s and the remaining portion with a speed of 60 m/s, we can find the total distance covered by adding the distances traveled at each speed.
- Let the total length of the road be L. Therefore, the man travels L/3 distance at 40 m/s and 2L/3 distance at 60 m/s.
- Distance traveled at 40 m/s = (L/3) meters
- Distance traveled at 60 m/s = 2(L/3) meters = 2L/3 meters
- Total distance traveled = (L/3) + (2L/3) = L meters
- Next, calculate the total time taken to cover the entire distance. To find the time taken, we divide the distance by the speed for each segment of the road and then add the times together.
- Time taken to cover distance at 40 m/s = (L/3) / 40 = L/120 seconds
- Time taken to cover distance at 60 m/s = (2L/3) / 60 = L/90 seconds
- Total time taken = (L/120) + (L/90) = 3L/360 + 4L/360 = 7L/360 seconds
- Finally, calculate the average speed of the man by dividing the total distance traveled by the total time taken. This will give us the overall average speed of the man for the entire journey.
- Average Speed = Total Distance / Total Time = L / (7L/360) = 360 / 7 ≈ 51.43 m/s
Therefore, the average speed of the man for the entire journey is approximately 51.43 m/s.
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?a man Travels on third length of a straight road with a constant speed of 40 metre per second and the remembering portion of the road with a constant speed of 60 metre per second then calculate it is average speed?
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?a man Travels on third length of a straight road with a constant speed of 40 metre per second and the remembering portion of the road with a constant speed of 60 metre per second then calculate it is average speed? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about ?a man Travels on third length of a straight road with a constant speed of 40 metre per second and the remembering portion of the road with a constant speed of 60 metre per second then calculate it is average speed? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?a man Travels on third length of a straight road with a constant speed of 40 metre per second and the remembering portion of the road with a constant speed of 60 metre per second then calculate it is average speed?.
?a man Travels on third length of a straight road with a constant speed of 40 metre per second and the remembering portion of the road with a constant speed of 60 metre per second then calculate it is average speed? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about ?a man Travels on third length of a straight road with a constant speed of 40 metre per second and the remembering portion of the road with a constant speed of 60 metre per second then calculate it is average speed? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?a man Travels on third length of a straight road with a constant speed of 40 metre per second and the remembering portion of the road with a constant speed of 60 metre per second then calculate it is average speed?.
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