Recoiling board

Sam is standing at one end of a 10 m\SI{10}{\meter} board on an ice floor. The board’s mass is 30 kg\SI{30}{\kilo\gram} and Sam weighs 50 kg.\SI{50}{\kilo\gram}.

What distance, with respect to the ice on the ground, does Sam travel if he walks to the other end of the board?

Assumptions: for simplicity, assume that there is no friction between the ice and the board.

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