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
Latest: SSC CGL 2024 final Result Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 8 km/hr
Solution : Let the speed of the thief be $x$ km/hr. Speed of the policeman = 10 km/hr Time taken by a policeman to catch the thief = 3 minutes = $\frac{1}{20}$ hr Relative distance to be covered by policeman = 100 metres = 0.1 km So, Relative speed × Relative time = Relative distance $⇒(10-x) × \frac{1}{20} = 0.1$ $⇒(10-x) = 2$ $\therefore x= 8$ Hence, the correct answer is 8 km/hr.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : A policeman starts chasing a thief when he is already 600 metres ahead. If the policeman is running at a speed of 9 km/hr and the thief at 8 km/hr, then the thief would be caught at a distance of:
Option 1: 6.5 km
Option 2: 6 km
Option 3: 5 km
Option 4: 5.4 km
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
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 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 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
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile