A60 kg archer, standing on frictionless ice, shoots a 90 g arrow at a speed of 110 m/s. what is the recoil speed of the archer

The man of mass m1 and the woman of mass m2 are standing on opposite ends of the platform of mass m0 which moves with negligible friction and is initially at rest with s = 0. the man and woman begin to approach each other. derive an expression for the displacement s of the platform when the two meet in terms of the displacement x1 of the man relative to the platform.