A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 17 km/h and 20 km/h, respectively. What is the distance between them after 8 minutes?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)

Answer 1

Given:

Distance between policeman and thief in the starting = 500 m

Speed of policeman = 20 km/hr

Speed of thief = 17 km/hr

Concept: /Formula:

If the speed of a policeman and thief is x km/hr and y km/hr, then

Relative speed, if same directions = (x – y) km/hr

Distance between them after n hrs = (x – y) × n

1 km/hr = 5/18 m/sec

1 min = 60 sec

Calculation:

8 min = 8 × 60 = 480 seconds

Distance between policeman and thief in starting = 500 m

Relative speed of policeman and thief, if same directions = (20 – 17) = 3 × (5/18) = (5/6) m/sec

Distance covered in 480 seconds = (5/6) × 480 = 400 m

Distance between them after 480 seconds= 500 – 400 = 100 m

∴ Distance between them after 8 min is 100 m.