A child of mass 4 kg jumps from cart B t...

A child of mass `4 kg` jumps from cart `B` to cart A and then immediately back to cart `B`. The mass of each cart is `20 kg` and they are initially at rest. In both the cases the child jumps at `6 m//s` relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of `V_(B)` and `V_(A)`, respectively, find the ratio of `6V_(B)` and `5v_(A)`.

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