SSC CGL 2022 PYQ — Question 52

SSC CGL - 03 Dec 2022 - Shift 2 • Quantitative Aptitude • Q52

A thief steals a bike at 12:30 p.m. and drives it at 48km/h. But the theft is discovered after half an hour. The bike owner starts to chase him on another bike at 58km/h. The thief will be caught at ________.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 3:24 p.m.

Concept used:

Relative speed when two objects are going in the same direction = x - y

Calculations:

Distance travelled by the thief in half an hour = 48 × 0.5 = 24 km

Relative speed = 58 - 48 = 10 km/h

Time taken = 24/10 = 2.4 hour or 2 hour 24 minutes

Hence, thief will be caught at = 1 pm + 2 hour 24 min = 3 : 24 pm