These questions are based on the following data:
A thief flees City $A$ in a car towards City $B$ on a stretch of straight road, $300$ kilometres long, at the speed of $60$ km/hr. In $15$ minutes a police party (X) leaves city $A$ to chase the thief at $65$ km/hr.
If a police party $(Y)$ were to leave City $B$ at the same time as police party $X$ leaving City $A$ to catch the thief at 60km/hr., then which of the following statements is true?
- Party $X$ reaches $37.5$ minutes after Party $Y$ has caught the thief.
- Party $Y$ reaches $37.5$ minutes after Party $X$ has caught the thief
- Party $X$ and Party $Y$ has caught the thief together.
- Party $X$ was $20$ km away when the thief caught.