Question : A thief running at a speed of ‘$x$’ km/hr is chased by a policeman running at a speed of 10 km/hr. If the thief is ahead by 100 metres, the policeman catches the thief after 3 minutes. At what speed is the thief running (‘$x$’ being the unknown speed)?

Option 1: 4 km/hr

Option 2: 8 km/hr

Option 3: 10 km/hr

Option 4: 6 km/hr

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

Question : A thief seeing a policeman from a distance of 300 m starts running at a speed of 10 km/h. The policeman gives chase immediately at a speed of 12 km/h and the thief is caught. What is the distance run by the thief?

Option 1: 2 km

Option 2: 2.5 km

Option 3: 3.2 km

Option 4: 1.5 km

Question : A thief, seeing a policeman from a distance of 400 m, started running at a speed of 16 km/hr. The policeman chased him immediately at a speed of 18 km/hr and the thief was caught. What was the distance run by the thief before he was caught by the policeman?

Option 1: 3200 m

Option 2: 3230 m

Option 3: 3240 m

Option 4: 3220 m

Question : A thief steals an item and escapes, running at 20 km/hr. A policeman arrives at the spot of the crime after 6 minutes and immediately starts chasing the thief. 24 minutes after the policeman started to chase the thief, there is still a gap of 400 m between the two. At what distance from the spot of crime would the policeman catch up with the thief and what is the speed at which the policeman ran?

Option 1: 15 km; 25 km/hr

Option 2: 14.4 km; 24 km/hr

Option 3: 10 km; 25 km/hr

Option 4: 12 km; 24 km/hr