A particle executes simple harmonic motion between x = – A and x= +A. The time taken for it to go from 0 to $\frac{\mathrm{A}}{2}$ is ${\mathrm{T}}_1$ and to go from $\frac{\mathrm{A}}{2}$ to A is ${\mathrm{T}}_2$. Then:

In simple harmonic motion, the speed of the particle is the maximum at the mean position x = 0, decreases as it moves towards the extreme position becoming zero at the extreme position x = A. Hence the  particle will take shorter time to move from x = 0 to x = $\frac{\mathrm{A}}{2}$ than to move from x = $\frac{\mathrm{A}}{2}$ to x = A.