SSC CGL 2024 PYQ — Question 63

SSC CGL - 19 Sep 2024 - Shift 3 • Quantitative Aptitude • Q63

A thief is spotted by a policeman from a distance of 195 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 22 km/h and that of the policeman is 27 km/h, then how far would the thief have run (in m) before he is overtaken?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 858.

Relative speed = 27 - 22 = 5 km/h =  5 × 518\frac{5}{18} m/s

Time required for the policeman = 1955×518\frac{195}{5\times\frac{5}{18}}

Distance covered by the thief = Time × Speed = 1955×518\frac{195}{5\times\frac{5}{18}} × 22 × 518\frac {5} {18}  = 39 × 22 = 858 m

Therefore, the thief would have run 858 meters before being overtaken.