Question : A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rates of 17 km/hr and 20 km/hr, respectively. What is the distance between them after 8 minutes?
Option 1: 100 m
Option 2: 180 m
Option 3: 200 m
Option 4: 150 m
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Correct Answer: 100 m
Solution :
The thief and the policeman run at the rates of 17 km/hr and 20 km/hr, respectively.
Relative speed between the thief and the policeman = 20 – 17 = 3 km/hr
Distance covered by them in 8 minutes $=3 \times\frac{5}{18} \times8\times 60= 400$ m
The initial distance between them = $500$ m
Distance between them now = $500 - 400 = 100$ m
Hence, the correct answer is 100 m.
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