A thief is noticed by a policeman from a distance of 400 m. The thief starts running at a speed of 8 km/h and the policeman chases him at a speed of 9 km/h. What is the distance between them after 18 minutes?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 100 m.
Thief’s speed = 8 km/h = 400/3 m/min
Policeman’s speed = 9 km/h = 150 m/min
Relative speed = 150 − (400/3) = 50/3 m/min
Relative distance covered in 18 min = (50/3) × 18 = 300 m
Remaining distance = 400 - 300 = 100 m