A policeman notices a thief from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at 10 km/h and 11 km/h, respectively. What is the distance (in meters) between them after 9 minutes?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 50.
The thief and the policeman run at the rate of 10 km/h and 11 km/h, respectively
Thief's speed = 10 km/hr = 10 × 1000/60 = 1000/6 = 500/3 m/min
Policeman's speed = 11 km/hr = 11 × 1000/60 = 1100/6 = 550/3 m/min
Thus,
Distance traveled by Thief in 9 minutes = 500/3 × 9 = 1500 meters
Distance traveled by policeman in 9 minutes = 1100/6 × 9 = 1650 meters
Initial distance = 200 meters
Distance covered by policeman in 9 minutes = 1650 - 1500 = 150 meters
Thus,
Total distance between them after 9 minutes = 200 - 150 = 50 meters