The displacement time graph of two particles P & Q is as shown in figure. What is ratio of velocities of ‘P’ and ‘Q’?

$\begin{array}{l}\text{ Slope of }\mathrm{S}-\mathrm{t}\text{ graph gives velocity }\\ velocity=\frac{change in displacement}{time taken for the change}=\frac{∆S}{∆t}=\tan \varnothing \\ \text{ Velocity P is }{\mathrm{V}}_{\mathrm{P}}=\mathrm{Tan}{30}^{\circ }\\ \text{ Velocity of }\mathrm{Q}\text{ is }{\mathrm{V}}_{\mathrm{Q}}=\mathrm{T}\text{ an }{45}^{\circ }\\ \frac{{\mathrm{V}}_{\mathrm{P}}}{{\mathrm{V}}_{\mathrm{Q}}}=\frac{\mathrm{Tan}{30}^{\circ }}{\mathrm{Tan}{45}^{\circ }}=\frac{\frac{1}{\sqrt{3}}}{1}=\frac{1}{\sqrt{3}}\end{array}$