SSC GD 2023 PYQ — Question 41

SSC GD Constable (English) - 25 Jan 2023 - Shift 3 • Quantitative Aptitude • Q41

A thief moving at 40 km/h covers a distance in 5 hours 15 minutes. If the police chasing him cover the same distance at 50 km/h, then how long will the police take to cover the same distance?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 4 hours 12 minutes.

Distance = Speed × Time

Time taken by thief = 5 + 15/60 = 5 + 1/4 = 21/4

Distance covered by the thief = 40 × 21/4 = 21 × 10 = 210 km

Time taken by the police to cover the same distance with the speed of 50 km/hr

Time = Distance/Speed = 210/50 = 4 hr 12 min