A man of 50kg is standing at one end on a boat of length 25 m and mass $200\;kg$. If he starts running and when he reaches the other end, he has a velocity $2\;ms^{-1}$ with respect to boat The final velocity of the boat is : (in $ms^{-1}$)

Question

\[\begin {array} {1 1} (a)\;\frac{2}{5} & \quad (b)\;\frac{2}{3} \\ (c)\;\frac{8}{5} & \quad (d)\;\frac{8}{3} \end {array}\]