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In this question, let T = time taken with v1 and t= time taken with v2.
T= distance/speed
= AB/2(v1)
t= distance/speed
= AB/2(v2)
let AB= d
total time= d/2v1+d/2V2
=d/2(1/v1+1/V2)
avg speed= total distance/total time
=d/d(1/2v1+1/2V2)
=1/(1/2v1+1/2v2)
=1/2v1+2v2/4v1v2
4v1v2/(2v1+2v2)
:)
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