A thief started running at a speed of 15 m/s, After running for 12 seconds, a policeman started running to catch the thief in the same direction at a speed of 20 m/s. How many meters will the policeman run to catch the thief?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 720 m.
Speed of theif = 15 m/s
Speed of policeman = 20 m/s
Speed = Distance/time
Total distance coveres by the theif in 12 sec = 15 × 12 = 180 m
Relative speed in same direction = Speed of police - Speed of theif = 20 - 15 = 5 m/s
So, total time to catch the theif = 180/5 = 36 sec
So, distance covered by the police man in 36 sec = 36 × 20 = 720 m