Class 11 Exam  >  Class 11 Questions  >  A person moving over a straight path speed v1... Start Learning for Free
A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person?
Most Upvoted Answer
A person moving over a straight path speed v1 for half of the time. ...
Problem:

A person moving over a straight path speed v1 for half of the time. For half of the remaining distance, his speed is v2 and for the other half, his speed is v3. Find the average speed of the person?


Solution:

Let's assume the total distance travelled by the person is 'd'.


  • Time taken to travel the first half of the distance = d/2v1

  • Distance left to travel = d/2

  • Time taken to travel the second half of the remaining distance = (d/2v2) * (d/2)

  • Time taken to travel the second half of the total distance = (d/2v3) * (d/2)

  • Total time taken = d/2v1 + (d/2v2) * (d/2) + (d/2v3) * (d/2)

  • Average speed = Total distance / Total time taken = d / (d/2v1 + (d/2v2) * (d/2) + (d/2v3) * (d/2))

  • Simplifying the above equation:


    • Average speed = 2v1v2v3 / (v1v2 + v2v3 + v3v1)



Therefore, the average speed of the person is 2v1v2v3 / (v1v2 + v2v3 + v3v1).


Explanation:

In this problem, we were given the speeds of the person for different distances. We first calculated the time taken by the person to travel different distances. Then, we added all the times to get the total time taken by the person to travel the entire distance. Finally, we divided the total distance by the total time to get the average speed of the person. We simplified the equation to get the final answer.


It is important to note that the average speed is not the same as the average of the speeds. We used the formula for the average speed in this problem.
Community Answer
A person moving over a straight path speed v1 for half of the time. ...
3÷( (1÷v1)+(1÷v2)+(1÷v3) )
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Top Courses for Class 11

A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person?
Question Description
A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person? 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 person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person?.
Solutions for A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person? defined & explained in the simplest way possible. Besides giving the explanation of A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person?, a detailed solution for A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person? has been provided alongside types of A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person? theory, EduRev gives you an ample number of questions to practice A person moving over a straight path speed v1 for half of the time. fir half of the remaining distance is speed is v2 and for other half v3. find the average speed of tje person? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev