SSC GD 2024 PYQ — Question 48

SSC GD Const (English) - 20 Feb 2024 - Shift 1 • Quantitative Aptitude • Q48

Two trains are coming in opposite directions at the same speed. If the length of each train is 320 meters and they cross each other in 18 seconds, then what is the speed of each train?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 64 km/hr.

Given that

The speeds of both trains are equal = x

Length of each train = 320 meters

Time taken to cross each other = 18 seconds

Total length = 320 + 320 = 640 meters

Relative speed = x + x = 2x

Formula used

Speed = Distancetime\frac{Distance}{time}

2x = 64018\frac{640}{18}

x = 32018\frac{320}{18} m/s

To convert in km/h we multiply by = 185\frac{18}{5}

Hence x = 64 km/h

The speed of each train is 64 km/h.