Correct Answer - Option 1 : 2.25 km
Given:
Speed of thief is 15 km/hr and speed of police man is 18 km/hr
Concept used:
Speed = Distance/time
Distance = Time × speed
Concept of relative speed
Relative speed is a speed of one moving object with respect to another moving object
Calculation:
Both thief and police man is running in same direction then by the concept of relative speed
∴ Relative speed of police man = (18 – 15) = 3 km/hr
Now, the police man catches the thief after 45 min
∴ Distance is covered by the police man to catch the thief = (45/60) × 3 = 2.25 km
∴ The Distance is covered by the police man to catch the thief is 2.25 km