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CAT 1997 | Question: 145

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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?

  1. Party $X$ reaches $37.5$ minutes after Party $Y$ has caught the thief.
  2. Party $Y$ reaches $37.5$ minutes after Party $X$ has caught the thief
  3. Party $X$ and Party $Y$ has caught the thief together.
  4. Party $X$ was $20$ km away when the thief caught.

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