CAT 1997 — QA Question 44
Relative SpeedEasy
Passage / Data
Answer the next 2 questions based on the following information.
A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 km/hr. He was then chased by a policeman X. X started the chase, 15 min after the thief had started, at a speed of 65 km/hr.
At what time did X catch the thief?
Answer & solution
- A
3.30 p.m.
- B
3 p.m.
3.15 p.m.
- D
None of these
Solution
Since the policeman started 15 min late, in this time the thief would have already covered = 15 km. To
catch the thief, the policeman will have to make up for this distance of 15 km. Every hour the policeman is travelling (65 – 60) = 5 km more than the thief. Hence, to make up the distance of 15 km, he would take 3 hr.
Since policeman started at 12.15 p.m., he would catch the thief at 3.15 p.m.