SSC GD 2023 PYQ — Question 57

SSC GD Constable (English) - 16 Jan 2023 - Shift 3 • Quantitative Aptitude • Q57

Two trains of same length are running on parallel tracks in opposite directions with speeds of 54 km/h and 90 km/h respectively. They cross each other in 12 sec. Find the length (in metres) of each train.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 240.

Given:

Speed of first train = 54 km/h

Speed of second train = 90 km/h

Time = 12 sec

Formula Used:

Relative speed in opposite direction = S1 + S2

Speed (m/s) = Speed (km/h) × 5/18 

Speed = Distance/Time

Explanation:

Let's assume the length of each train is x.

Relative speed = 54 + 90

⇒ 144 km/h

⇒ 144×518144 \times {5 \over 18} = 40 m/s

According to the question,

⇒ 12 = (x + x)/40

⇒ 12 = 2x/40

⇒ x = 480/2 = 240 m

The length of each train, x = 240m