Question : 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/hr, the thief runs at a speed of 7 km/hr. After how long will the policeman catch the thief?
Option 1: 6 minutes
Option 2: 3 minutes
Option 3: 10 minutes
Option 4: 5 minutes
Correct Answer: 6 minutes
Solution :
Relative speed of policeman = Speed of the policeman - Speed of the thief
= 9 km/hr – 7 km/hr
= 2 km/hr
The policeman has to cover a relative distance of 200 m (0.2 Km) to catch the thief. So,
Time = $\frac{\text{distance}}{\text{speed}}$
= $\frac{0.2}{2}$ = 0.1 hours = 0.1 × 60 minutes = 6 minutes
Hence, the correct answer is 6 minutes
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