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Question

An auto travels with a uniform speed u for the first half duration and the next half duration with a uniform speed v. Find its average speed.


A

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B

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C

2uv

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D

uv

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Solution

The correct option is A


Step: Express total distance in terms of speed and time.
Total distance, d=u× T2+v×T2
d=T2(u+v)

Total time = T
Average speed =Vav =dT
=T2(u+v)T
=u+v2


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