A police officer sees a thief from 200 meters away. The thief flees, and the police officer pursues him. The thief and the officer are both running at 10 km/h and 11 km/h, respectively. At what distance will the officer apprehend the thief?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2.2 km.
Relative speed = 11 - 10 = 1 km/h = 5/18 m/s
Time to cover 200 m gap = 200/(5/18) = 720 sec
Distance covered by the officer in 720 seconds = (55/18) × 720 = 2200 m = 2.2 km