A policeman is chasing a thief at a speed of 82 km/h. The thief is 1300 m away and is running at a speed of 64 km/h. In how much time will the policeman catch the thief if both are riding on bikes?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 260 sec.
Policeman's speed = 82 km/h = 82 × (5/18) = (205/9) m/s
Thief's speed = 64 km/h = 64 × (5/18) = (160/9) m/s
Relative speed = (205/9) - (160/9) = 5 m/s
Time required to catch the thief = 1300/5 = 260 seconds
Therefore, the policeman will catch the thief in 260 seconds.