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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Question : A policeman saw a thief from a distance of 450 m. When the policeman started chasing him, the thief also started running. The ratio of speeds of the thief to the policeman is 7 : 8. After running how much distance (in km) can the policeman catch the thief?
Option 1: 3.75
Option 2: 3.4
Option 3: 3.6
Option 4: 3.15
Question : A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes?
Option 1: 225 m
Option 2: 250 m
Option 3: 300 m
Option 4: 200 m
Question : A policeman saw a thief at a distance of 400 m. The thief started running at a speed of 10 km/h and the policeman chased him at 12 km/h in the same direction. At what distance from the starting point will the policeman catch the thief?
Option 1: 2.4 km
Option 2: 3 km
Option 3: 2 km
Option 4: 2.8 km
Question : A policeman spots a thief at a distance of 360 m. Both the policeman and the thief simultaneously start running, with the former chasing the latter. While the thief runs at the speed of 8 km/h, the policeman runs at 9.2 km/h. How many metres will the policeman have to run before he catches up with the thief?
Option 1: 2852
Option 2: 2714
Option 3: 2668
Option 4: 2760
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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