Question

A thief is running at the speed of 15 km/hr and a police man is chasing him with the speed of 18 km/hr. After 45 minute police man catch the thief. How much distance is covered by the police man to catch the thief?
1. 2.25 km
2. 2.50 km
3. 1.25 km
4. 3.50 km

Answer 1

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