SSC GD 2021 PYQ — Question 51

SSC GD Constable (English) - 24th November 2021 Shift 1 • Quantitative Aptitude • Q51

Train A passes an electric pole in 15 seconds, moving at 60 km/h. It crosses train B moving in the opposite direction at 48 km/h, in 19 seconds. What is the length (in m) of train B?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 320.

Given:

Train A passes an electric pole in 15 seconds, moving at 60 km/h

Train A crosses train B moving in the opposite direction at 48 km/h, in 19 seconds

Formula used:

Speed = Distance/Time         ----- (1)

Calculations:

60 km/h = 60 × 5/18 = 50/3 m/s

48 km/h = 48 × 5/18 = 40/3 m/s

According to the question;

Length of train A = 50/3 × 15 = 250 m

Relative speed = 50/3 + 40/3 = 90/3 = 30 m/s

Length of both trains = 30 × 19 = 570 m

Length of train B = 570 - 250 = 320 m