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A policeman sees a thief at a distance of 150 m. He starts chasing the thief who is running at a speed of 5 m/sec, while the
policeman chases with a speed of 7m/sec.Find the distance covered by the thief when he is caught by the policeman.
285 m
325 m
375 m
295 m
- The thief starts with a 150 m head start.
- Thief's speed is 5 m/sec, while the policeman's speed is 7 m/sec.
- The relative speed at which the policeman closes the gap is 2 m/sec (7 m/sec - 5 m/sec).
- To close a distance of 150 m at 2 m/sec relative speed, the policeman takes 75 seconds (150 m / 2 m/sec).
- In these 75 seconds, the thief runs 375 m (75 sec * 5 m/sec).
- Correct option: 3, 375 m
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