SSC Selection Post 2024 PYQ — Question 64

SSC Selection Post - Matriculation Level - 24 June 2024 - Shift 4 • Quantitative Aptitude • Q64

A policeman spots a thief from a distance of 100 metres. When he starts running after the thief, the thief starts running as well. How far will the thief have to run before being overtaken if his speed is 8 km/h and the policeman's speed is 10 km/h?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 400 metres.

Distance between the thief and the policeman = 100 m

Relative speed = 10 - 8 = 2 km/hr

⇒ 2 × 5185\over18 = 101810\over18 m/sec

Time = 1001018100\over{10\over18} = 180 sec

Distance = 8 × 5185\over18 × 180 = 400 meters