Two bodies of masses \(12 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) are projected simultaneously with velocities \(15 \mathrm{~ms}^{-1}\) and \(20 \mathrm{~ms}^{-1}\) respectively from the top of a tower of height \(25 \mathrm{~m}\).
The body of mass \(12 \mathrm{~kg}\) is projected vertically upwards and the body of mass \(6 \mathrm{~kg}\) is projected horizontally. The maximum height reached by the centre of mass of the system of two bodies from the ground.
\[
\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)
\]

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.