SSC GD 2025 PYQ — Question 49

SSC GD Const 2025 (English) - 06 Feb 2025 - Shift 2 • Quantitative Aptitude • Q49

A train running at 75 km/hr crosses another train running at 30 km/hr in the same direction in 108 seconds. If the length of the fast-moving train is 950 m, then what is the length (in m) of the slow-moving train?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e.  400.

Relative speed = 75 − 30 = 45 km/hr = (45 × 1000) / 3600 = 12.5 m/s

Time = 108 sec

Distance covered = Relative speed × Time = 12.5 × 108 = 1350 m

Length of fast train = 950 m

So, length of slow train = 1350 − 950 = 400 m