SSC GD 2024 PYQ — Question 41

SSC GD Const (English) - 21 Feb 2024 - Shift 1 • Quantitative Aptitude • Q41

A 600-meter-long train crosses a man walking in the opposite direction in 20 seconds. If the speed of the train is 5 times the speed of a man, then what is the speed of the train?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 90 km/hr.

Let the speed of the man be x meters per second

The train and the man are moving in opposite directions,

Relative speed = x + 5x = 6x

We know that,

Distance = speed × time

⇒ 600 = 6x × 20

⇒ 6x = 600/20

⇒ 6x = 30

⇒ x = 5

Thus, the speed of the man is 5 meters per second

The speed of the train = 5x = 25 m/sec and 90 km/hr