SSC CHSL 2024 PYQ — Question 62

SSC CHSL - 03 July 2024 - Shift 2 • Quantitative Aptitude • Q62

A policeman starts chasing a thief who is 500 m ahead of him. The speed of the thief is 18 km/h, and the speed of the policeman is 36 km/h. Find the time taken by the policeman to catch the thief.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 100 sec.

Given that, distance between thief anf policeman = 500 m

Speed of thief = 18 km/h

Speed of policeman = 36 km/hr

When two people run in same direction, their relative speed is equal to the difference between the individual speeds.

Relative speed of thief and policeman = 36 - 18 = 18 km/h

Relative speed of thief and policeman in m/sec = 18×51818 \times {5 \over 18} = 5 m/sec

Distance = Speed × Time

According to the given question,

Time taken = 5005500 \over 5 = 100 sec

Hence the time taken by policeman to catch the thief is 100 sec.