Question : A thief is stopped by a policeman from a distance of 150 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief is 7 km/h and that of the policeman is 9 km/h, how far would the thief have run before he was overtaken by the policeman?
Option 1: 420 metres
Option 2: 630 metres
Option 3: 315 metres
Option 4: 525 metres
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Correct Answer: 525 metres
Solution :
Given: The speed of the thief is 7 km/h and that of the policeman is 9 km/h.
At a distance of 150 metres, the policeman spots the thief.
We know that, Distance = Speed × Time.
Relative speed is given as 9 km/h – 7 km/h = 2 km/h
Time taken by police to catch the thief = $ \frac{150}{2 \times\frac{5}{18}} =270$ seconds
Total distance covered by thief before the overtaken = $270 \times 7 \times \frac{5}{18}$ = 525 metres
Hence, the correct answer is 525 metres.
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