A thief is noticed by a policeman from a distance of 200 m. The thief starts running as soon as he is noticed, and the policeman chases him simultaneously. The thief and the policeman run at the speeds of 10 km/h and 11 km/h, respectively. What is the distance (in m) between them after 6 min policeman starts chasing?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 100.
Given that
A thief is noticed by a policeman from a distance of 200 m
The thief and the policeman run at the speeds of 10 km/h and 11 km/h, respectively
Formula used
Time taken to chase a thief by police = Distance between them/Relative speed
Calculation
The relative speed = 11 - 10 = 1 km/h = 5/18 m/s
Time taken to chase the thief = 200/(5/18) = 720 sec = 720/60 = 12 minutes
Hence, Distance between them after 6 min = time × relative speed = 6 × 60 × 5/18 = 100 m