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A body covers one-therd of its jurney wi...

A body covers one-therd of its jurney with spdd `v_(1)`, next onw=third with speed ` v_(2)` and last one-third with speed `v_(3)`. Calcuate the average dpeed of the during the entire journey.

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Let (s) be the total distace travelled by body. Total time taken,
` t= (s//3)/v_(1) + (s//3)/v_(2) + (s//3)/v_(3) =s/3 [1/v_(1) + 1/v_(2) + 1/v_(3) ]`
`= s/3 [(v_(2) v_(3) + v_91) v_(3) + v_(1) v_(2))/(v_(1) v_(2) v_(3))]`
Average speed `=(Total distancelled )/(total time taken )`
` =s/(s/3 [(v_(2) v_(3) + v_(1) v_(3) + v_(1) v_(2))/(v_(1) v_(2) v_(3))])`
`= (3 v_(1) v_(2) v_(3))/(v_(1) v_(2) + v_(2) v_(3) + v_(3) v_(1))`.
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