SSC Selection Post 2022 PYQ — Question 52

SSC Selection Post - Matriculation Level - 3 Feb 2022 - Shift 2 • Quantitative Aptitude • Q52

A 270 m long train crosses a man standing on a platform in 24 seconds. How much time (in seconds) will it take to cross a 330 m long train travelling at 39.5 km/h in the opposite direction?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 27.

Speed of first train = 270/24 = 45/4 m/sec = 11.25 m/sec

Speed of second train = 39.5 × 5/18 = 10.97 m/sec

Relative speed = Speed of first train + speed of second train 

⇒ 11.25 + 10.97 = 22.22 m/sec

Total distance = 270 + 330 = 600 m

Time taken = 600/22.22 = 27 sec