A man of right side jumps right with a speed V relative to the plank's initial velocity. After that left man also jumps left with a relative velocity V with respect to initial (current) state of plank's velocity. The final velocity of plank will be :

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From conservation of momentum, let the velocity after the right man jumps be v 1 ​ : mV + 3 m v 1 ​ = 0 , so v 1 ​ = − V /3 (to the left) For the left man, final velocity of plank v F ​ : 3 m v 1 ​ = m ( v 1 ​ − V ) + 2 m v F ​ − mV = − mV − mV /3 + 2 m v F ​ v F ​ = V /6 to the right

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