Question : A policeman spotted a thief 40 metres ahead of him. The moment they both saw each other they started running in the same direction on the same track. The thief was running at 10 m/sec and the policeman was chasing him at the speed of 12 m/sec. How much distance (in metres) the policeman needed to cover to catch the thief?
Option 1: 180
Option 2: 240
Option 3: 200
Option 4: 225
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Correct Answer: 240
Solution :
The relative speed of the police to the thief = 12 – 10 = 2 m/sec
Now, the total time taken to catch the thief = $\frac{40}{2}$ = 20 sec
So, distance traveled by the police = 20 × 12 = 240 m
Hence, the correct answer is 240.
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