A thief is noticed by a policeman from a distance of 500m. The thief starts running and the policeman chases him. The thief and the policeman run at the speed of 12km/h and 13km/h, respectively. What is the distance between them after 12 minutes?
- A150 m
- B100 m
- C300 m
- D200 m
Solution & Step-by-step Explanation
Given:
Initial distance between the thief and the policeman = 500m
Speed of the thief = 12km/h
Speed of the policeman = 13km/h
Since they are running in the same direction, their relative speed is:
Relative Speed=13km/h−12km/h=1km/h
Convert relative speed into meters per minute:
1km/h=
60minutes
1000m
=
3
50
m/min
Distance covered by the policeman relative to the thief in 12 minutes:
Relative Distance Covered=Relative Speed×Time
Relative Distance Covered=
3
50
×12=200m
Therefore, the remaining distance between them after 12 minutes is:
Remaining Distance=500m−200m=300m
Initial distance between the thief and the policeman = 500m
Speed of the thief = 12km/h
Speed of the policeman = 13km/h
Since they are running in the same direction, their relative speed is:
Relative Speed=13km/h−12km/h=1km/h
Convert relative speed into meters per minute:
1km/h=
60minutes
1000m
=
3
50
m/min
Distance covered by the policeman relative to the thief in 12 minutes:
Relative Distance Covered=Relative Speed×Time
Relative Distance Covered=
3
50
×12=200m
Therefore, the remaining distance between them after 12 minutes is:
Remaining Distance=500m−200m=300m