Oscillations and Waves: JEE Main 2024 Physics question

A simple harmonic oscillator has an amplitude $A$ and time period $6 \pi$ second. Assuming the oscillation starts from its mean position, the time required by it to travel from $x=$ A to $x=\frac{\sqrt{3}}{2}$ A will be $\frac{\pi}{x} \mathrm{~s}$, where $x=$ _________.