A thief started running at a speed of 12 m/s, after running for 10 sec a policeman started running to catch the thief in the same direction at a speed of 14.5 m/s. What is the time taken by the policeman to catch the thief?
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is option 4 i.e. 48 sec
Given that
The speed of police = 14.5 m/s
The speed of thief = 12 m/s
After running for 10 seconds, a policeman started running to catch the thief in the same direction
Relative speed in the same direction = 14.5 - 12 = 2.5 m/s
The thief covered distance in 10 seconds = 12 × 10 = 120 m
Hence, the time taken by police to catch the thief = 120/2.5 = 48 seconds