SSC GD 2019 PYQ — Question 66

SSC GD Constable (English) - 6 March 2019 Shift 1 • Quantitative Aptitude • Q66

A train passes the platform in 18 seconds and a man standing on the platform in 8 seconds. If the length of the train is 100 metres. Find the length of the platform.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 125 m

A train crosses a man in 8 seconds it means a train covers its own length in 8 seconds

⇒ Distance = Speed × Time

⇒ 100 = S × 8

⇒ Speed of train = 100/8 = 12.5 m/s

In second case a train passes the platform in 18 seconds it means train covers distance of platform + distance of its length in 18 seconds 

Let X be the length of platform

⇒ 100 + x = 12.5 × 18

⇒ 100 + x = 225

⇒ X = 225 - 100 = 125 m