SSC CHSL 2024 PYQ — Question 74

SSC CHSL - 10 July 2024 - Shift 2 • Quantitative Aptitude • Q74

A policeman was asked to chase a thief. Before the policeman started the chase, he realized that the thief was 200 meters ahead of him and was running at a speed of 16 km/h. The policeman started the chase at a speed of 20 km/h. How far will the thief run before he is overtaken by the policeman?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 800 m.

Distance(D) = 200 m

Speed of thief(x) = 16 km/hr = 16 × 5/18 = 40/9 m/sec

The direct formula to find out the distance traveled by the thief before the policeman caught him,

Distance = Speed of thief × time

Distance = 40/9 × 200(20−16)×518\frac{200}{(20-16)\times\frac{5}{18}}

Distance = 40/9 × 180

Distance = 800 m