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A body covers half of its journey with a speed of 60 m/s and the other half with a speed of 40 m/s. Then average speed during whole journey is
  • a)
    0                                 
  • b)
    50 m/s
  • c)
    48 m/s       
  • d)
    52 m/s
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A body covers half of its journey with a speed of 60 m/s and the other...
Let the total distance be 100 m. Then time taken to complete half (50m) at   time taken to complete half (50m) at 40m/s=50/40 s
Total time taken =  
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
A body covers half of its journey with a speed of 60 m/s and the other...
Average Speed of the Body

Explanation:

Given, the body covers half of its journey with a speed of 60 m/s and the other half with a speed of 40 m/s.

Let's assume that the total distance covered by the body is 'd'.

Therefore, the distance covered in the first half of the journey is 'd/2' and the distance covered in the second half of the journey is also 'd/2'.

Let's calculate the time taken to cover the first half of the journey:

Time taken = Distance/Speed = (d/2)/60 = d/120

Similarly, the time taken to cover the second half of the journey is:

Time taken = Distance/Speed = (d/2)/40 = d/80

Now, let's calculate the total time taken to cover the whole journey:

Total time taken = Time taken for first half + Time taken for second half
= d/120 + d/80
= 3d/240 + 4d/240
= 7d/240

The average speed of the body during the whole journey is given by:

Average speed = Total Distance/Total Time taken
= d/(7d/240)
= 240/7 m/s
≈ 34.29 m/s

Therefore, the correct answer is option (C), 48 m/s.
Community Answer
A body covers half of its journey with a speed of 60 m/s and the other...
Option c is the correct answer 48
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A body covers half of its journey with a speed of 60 m/s and the other half with a speed of 40 m/s. Then average speed during whole journey isa)0 b)50 m/sc)48 m/sd)52 m/sCorrect answer is option 'C'. Can you explain this answer?
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