Meeting cars speed ratio

When two objects start moving towards each other simultaneously from two points and meet, the relation between their speeds $s_1, s_2$ and the times $t_1, t_2$ taken to reach their destinations after meeting is: $\frac{s_1}{s_2} = \sqrt{\frac{t_2}{t_1}}$

Given $s_1 = 60$ km/hr, $t_1 = 45$ min, $t_2 = 20$ min: $\frac{60}{s_2} = \sqrt{\frac{20}{45}} = \sqrt{\frac{4}{9}} = \frac{2}{3}$ $s_2 = 60 \times \frac{3}{2} = 90\text{ km/hr}$