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Question

An auto travels the first half time with a uniform speed, u and the next half time with a uniform speed, v Find its average speed for the complete journey.


A

u+v2

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B

uv2

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C

2uv

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D

uv

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Solution

The correct option is A

u+v2


Express total distance in terms of speed and time:

Total distance, d=u×T2+v×T2

d=T2(u+v) [T is the total time]

Now, average velocity, Vav=DistanceTime=dT

=T2(u+v)T

=u+v2


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