A and B start moving towords each other from places X and Y, respectively, at the same time on the day. The speed of A is 20% more than of B. After meeting on the way, A and B take p hours and $$7\frac{1}{5}$$ hours, respectively. What is the value of p?

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} {}&{\text{A}}&{}&{\text{B}} \\ {{\text{S}} \to }&6&:&5 \end{array}\]
$$\eqalign{ & \frac{{V1}}{{V2}} = \sqrt {\frac{{T2}}{{T1}}} \cr & \frac{6}{5} = \sqrt {\frac{{\frac{{36}}{5}}}{p}} \cr & \frac{{36}}{{25}} = \frac{{36}}{{5p}} \cr & p = 5 \cr} $$