SSC GD 2023 PYQ — Question 53

SSC GD Constable (English) - 10 Jan 2023 - Shift 3 • Quantitative Aptitude • Q53

A thief started his journey at a speed of 60 km/h. After 30 minutes, police started from the same place but at a speed of 80 km/h. How much time (in hours) will the police take to catch the thief?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. (3/2) hours 

Thief's initial speed = 60 km/h

Police's speed = 80 km/h

Time elapsed before police starts (T) = 30 minutes = 0.5 hours

Distance = Speed × Time

Time take by police to catch the thief = (60 × 0.5)/(80 - 60) = 30/20 = 3/2 hr