Question

A body covers half distance at a velocity
of a m/s
and remaining half
distance at a velocity of om is. Find
the the average speed of the body​

Answer 1

Explanation:

Let the total distance be 2x.

For first half distance :

Speed is 20 m/s

Thus time taken t

1

=

20

x

For second half distance :

Speed is 30 m/s

Thus time taken t

2

=

30

x

Average velocity V

avg

=

t

1

+t

2

2x

⟹ V

avg

=

20

x

+

30

x

2x

=

20+30

2×20×30

=24 m/s

Answer 2

Answer:

Let the distance, for convenience of calculation, be 60 metres, so at 20 m/sec the first half (30 m) takes 1.5 seconds (30/20), the second half takes 1 second (30/30). Total time 2.5 seconds, total distance 60 metres (assumed), so average speed is 60/2.5; you work that out. The distance we assume is for convenience of calculation only and obviously cancels out. You would get the same result by assuming any convenient distance to work with or just call it "x".

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