SSC MTS 2022 PYQ — Question 54

SSC MTS - 19 July 2022 - Shift 2 • Quantitative Aptitude • Q54

A train 200 m long running, at a speed of 36 km/h, takes 55 seconds to cross a bridge completely. What is the length of the bridge?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 350 m.

Length of train = 200 m

Speed of train = 36 km/h

Time taken by train to cross the bridge = 55 sec

Distance = Speed × Time

Speed(in m/s) = Speed(in km/h) ×518\times {5 \over 18}

The speed of the train in m/s = 36 ×518\times {5 \over 18} = 10 m/s

Let the length of the bridge = x

We know, Distance Travelled = Speed × Time

According to the given statement, 

⇒ 200 + x = 10 × 55

⇒ x = 550 - 200

⇒ 350 m