Question : A policeman sees a chain snatcher at a distance of 500 m. He starts chasing the chain snatcher who is running at a speed of 5 m/s, while the policemen are chasing him at a speed of 15 m/s. When the chain snatcher is caught by the policemen, what distance will the chain snatcher have covered?
Option 1: 200 m
Option 2: 180 m
Option 3: 150 m
Option 4: 250 m
Correct Answer: 250 m
Solution :
Speed of the policeman = 15 m/s
Speed of the snatcher = 5 m/s
Relative speed of policeman with respect to snatcher= (15 – 5) m/s = 10 m/s
Distance the policeman has to cover = 500 m
Now, Time by which snatcher is caught, t = $\frac{\text{Distance}}{\text{Relative Speed}}$
⇒ t = $\frac{500}{10}$
⇒ t = 50 seconds
Distance covered by snatcher = Speed of snatcher × t = 5 × 50 = 250 m
Hence, the correct answer is 250 m.
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