SSC CGL 2023 PYQ — Question 69

SSC CGL - 21 July 2023 - Shift 2 • Quantitative Aptitude • Q69

A policeman chasing a thief is 0.5 km behind the thief. The speed of the thief is 80% of the speed of the policeman and the policeman catches him in 12 minutes. What is the speed of the thief (in km/h)?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 10.

Ratio of Speed:

Policeman : thief = 5x : 4x

According to the question,

0.55x−4x=1260\frac{0.5}{5x - 4x}=\frac{12}{60}

x = 2.5

Speed of thief = 4x = 4 × 2.5 = 10 km/h