A policeman spots a thief at a distance of 200 m and starts chasing him. While the policeman runs at a speed of 9 km/ h, the
thief runs at a speed of 7 km/ h. After how long will the policeman catch the thief?
3 minutes
Incorrect Answer10 minutes
Incorrect Answer5 minutes
Incorrect AnswerExplanation:
- The distance between the policeman and the thief is initially 200 meters.
- The policeman's speed is 9 km/h and the thief's speed is 7 km/h.
- The relative speed of the policeman with respect to the thief is \(9 - 7 = 2\) km/h.
- Convert this relative speed from km/h to m/min: 2 km/h = \( \frac{2000}{60} \approx 33.33 \) m/min.
- To catch the thief, the policeman needs to cover the 200 meters gap at 33.33 m/min.
- Time taken to cover 200 meters = \( \frac{200}{33.33} \approx 6 \) minutes.
The correct answer is Option: 1 - 6 minutes.
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