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
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 3200 m
Solution : Thief's speed = 16 km/hr = $16×\frac{5}{18}=\frac{40}{9}$ m/s Policeman's speed = 18 km/hr = $18×\frac{5}{18}=5$ m/s Required distance = $\frac{\text{Difference × Slower speed}}{\text{Faster speed – Slower speed}}$ So, distance $=\frac{400×\frac{40}{9}}{5-\frac{40}{9}}=400×\frac{40}{9}×\frac{9}{5}=3200$ m Hence, the correct answer is 3200 m.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
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?
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
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?
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:
Question : A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rates of 17 km/hr and 20 km/hr, respectively. What is the distance between them after 8 minutes?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile