A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 17 km/h and 20 km/h, respectively. What is the distance between them after 8 minutes?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 100 m.
The thief and the policeman run at the rate of 17 km/h and 20 km/h respectively
We know that,
Speed = Distance/Time
Relative speed = 20 - 17 = 3 km/hr = 3 × 5/18 = 5/6 m/sec
Time = 8 minutes = 8 × 60 = 480 seconds
So,
Distance covered in 8 minutes = 5/6 × 480 = 400 m
Thus,
Distance between them after 480 seconds = 500 - 400 = 100 m