SSC CGL 2023 PYQ — Question 66

SSC CGL - 19 July 2023 - Shift 4 • Quantitative Aptitude • Q66

A thief seeing a policeman from a distance of 300 m starts running at a speed of 10 km/h. The policeman gives chase immediately at a speed of 12 km/h and the thief is caught. What is the distance run by the thief?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 1.5 km

Given that

The speed of a policeman = 12 km/h

The speed of a thief = 10 km/h

The initial distance between the police and the thief = 300 m 

According to the question

The relative speed of policeman and thief = 12 - 10 = 2 km/h

The time to catch the thief = 300/(2 × 1000) = 0.15 hours

Hence, the distance run by the thief = 0.15 × 10 = 1.5 km