SSC Selection Post 2022 PYQ — Question 60

SSC Selection Post - Graduation Level 2022 - 4 Aug 2022 - Shift 4 • Quantitative Aptitude • Q60

A train traveling at 138 km/h completely crosses another train half its length and traveling in the opposite direction at 42 km/h in 6 s. If it also passes a railway platform in 45 s, then find the length of the platform. (In m)

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 1525.

Relative speed = 138 + 42 = 180 km/h = 50 m/s

Let Train 1 length = L → Train 2 length = L/2

Total distance covered = L + L/2 = 1.5L

Length of train 1 = (50 × 6)/1.5 = 200 m

Length of platform = [42 × (5/18) × 45] - 200 = 1725 - 200 = 1525 m