SSC MTS 2024 PYQ — Question 3

SSC MTS - 07/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q3

A 240 m long train crosses a man walking at a speed of 4.5 km/h in the opposite direction in 12 seconds. What is the speed (in km/h) of the train?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 67.5.

Let the speed of the train = x km/h

Relative speed = x + 4.5 km/h

⇒ (x + 4.5) × 5185\over18 m/sec

According to the question,

Speed = Distance/Time

⇒ (x + 4.5) × 5185\over18 = 24012240\over12

⇒ (x + 4.5) × 5185\over18 = 20

⇒ x + 4.5 = 72

⇒ x = 67.5