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Two persons, A of mass 60 kg and B of ma...

Two persons, A of mass `60 kg` and `B` of mass `40 kg`, are standing on a horizontal platform of mass `50 kg`. The platform is supported on wheels on a horizontal frictionless surface and is initially at rest. Consider the following situations.

(i) Both `A` and `B` jump from the platform simultaneously and in the same horizontal direction.
(ii) A jumps first in a horizontal direction and after a few seconds `B` also jumps in the same direction. In both the situations above, just after the jump, the person (`A` or `B`) moves away from the platform with a speed of `3 m//s` relative to the platform and along the horizontal.
In situation (i), just after both `A` and `B` jump from the platform, velocity of centre of mass of the system (`A, B` and the platform) is

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