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5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph?
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5) a motor vehicle travel the first third of a distance S at a speed o...
Problem:
A motor vehicle travels the first third of a distance S at a speed of V1 = 10 km/h. The second third at a speed of V2 = 20 km/h and the last third at a speed of V3 = 60 km/h. Determine the mean speed of the vehicle over the entire distance S.
Solution:
To find the mean speed of the vehicle over the entire distance, we can use the formula:
Mean speed = Total distance / Total time
Step 1: Calculate the Total Distance:
Given that the vehicle travels the first third of the distance at a speed of 10 km/h, the second third at a speed of 20 km/h, and the last third at a speed of 60 km/h, we can conclude that each third of the distance is equal.
Let's assume the total distance as S. Therefore, the first third of the distance is S/3, the second third of the distance is also S/3, and the last third of the distance is S/3.
Hence, the total distance is:
Total distance = S/3 + S/3 + S/3 = S
Step 2: Calculate the Total Time:
To calculate the total time, we need to find the time taken to travel each third of the distance.
Let's assume the time taken to travel the first third of the distance as t1, the second third as t2, and the last third as t3.
Using the formula Speed = Distance / Time, we can calculate the time taken for each third of the distance:
t1 = (S/3) / V1 = (S/3) / 10
t2 = (S/3) / V2 = (S/3) / 20
t3 = (S/3) / V3 = (S/3) / 60
Step 3: Calculate the Mean Speed:
Now that we have the total distance and total time, we can calculate the mean speed using the formula:
Mean speed = Total distance / Total time
Substituting the values, we get:
Mean speed = S / (t1 + t2 + t3)
Mean speed = S / ((S/3)/10 + (S/3)/20 + (S/3)/60)
Simplifying the equation:
Mean speed = S / (S/30 + S/60 + S/180)
Mean speed = S / (6S/180 + 3S/180 + S/180)
Mean speed = S / (10S/180)
Mean speed = 180S / 10S
Mean speed = 18 km/h
Conclusion:
Therefore, the mean speed of the vehicle over the entire distance S is 18 km/h.
A motor vehicle travels the first third of a distance S at a speed of V1 = 10 km/h. The second third at a speed of V2 = 20 km/h and the last third at a speed of V3 = 60 km/h. Determine the mean speed of the vehicle over the entire distance S.
Solution:
To find the mean speed of the vehicle over the entire distance, we can use the formula:
Mean speed = Total distance / Total time
Step 1: Calculate the Total Distance:
Given that the vehicle travels the first third of the distance at a speed of 10 km/h, the second third at a speed of 20 km/h, and the last third at a speed of 60 km/h, we can conclude that each third of the distance is equal.
Let's assume the total distance as S. Therefore, the first third of the distance is S/3, the second third of the distance is also S/3, and the last third of the distance is S/3.
Hence, the total distance is:
Total distance = S/3 + S/3 + S/3 = S
Step 2: Calculate the Total Time:
To calculate the total time, we need to find the time taken to travel each third of the distance.
Let's assume the time taken to travel the first third of the distance as t1, the second third as t2, and the last third as t3.
Using the formula Speed = Distance / Time, we can calculate the time taken for each third of the distance:
t1 = (S/3) / V1 = (S/3) / 10
t2 = (S/3) / V2 = (S/3) / 20
t3 = (S/3) / V3 = (S/3) / 60
Step 3: Calculate the Mean Speed:
Now that we have the total distance and total time, we can calculate the mean speed using the formula:
Mean speed = Total distance / Total time
Substituting the values, we get:
Mean speed = S / (t1 + t2 + t3)
Mean speed = S / ((S/3)/10 + (S/3)/20 + (S/3)/60)
Simplifying the equation:
Mean speed = S / (S/30 + S/60 + S/180)
Mean speed = S / (6S/180 + 3S/180 + S/180)
Mean speed = S / (10S/180)
Mean speed = 180S / 10S
Mean speed = 18 km/h
Conclusion:
Therefore, the mean speed of the vehicle over the entire distance S is 18 km/h.
Community Answer
5) a motor vehicle travel the first third of a distance S at a speed o...
3/vavg=1/v1+1/v2+1/v3.
3/vavg=v2v3+v1v3+v1v2/v1v2v3.
3/vavg=20×60+10×60+10×20/10×20×60.
3/vavg=1200+600+200/12000.
3/vavg=2000/12000.
3/vavg=1/6.
vavg=18.
3/vavg=v2v3+v1v3+v1v2/v1v2v3.
3/vavg=20×60+10×60+10×20/10×20×60.
3/vavg=1200+600+200/12000.
3/vavg=2000/12000.
3/vavg=1/6.
vavg=18.
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5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph?
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5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph? 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 5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph?.
5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph? 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 5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph?.
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5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph?, a detailed solution for 5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph? has been provided alongside types of 5) a motor vehicle travel the first third of a distance S at a speed of V1= 10 kmph,The second third at a speed of V2= 20 kmph and the last third at a speed of V3= 60 kmph. determine the mean speed of the vehicle over the entire distance s?Sol) 18 kmph? theory, EduRev gives you an
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