A train can cross a 1200 metre long bridge completely in 16 seconds It can cross a 1600 metre long b...........

Quantitative Aptitude (MTS) Time & distance

A train can cross a 1200-metre-long bridge completely in 16 seconds. It can cross a 1600-metre-long bridge completely in 20

seconds. What is the speed of the train?

This questions was previously asked in

SSC MTS 13th July 2022 Shift-3

360 km/h

450 km/h

540 km/h

270 km/h

Let's break it down:

- The total distance covered when crossing a bridge = Length of Train + Length of Bridge.

- Let train's length = L and speed = V m/s.

- For 1200 m bridge: L + 1200 = 16V ...(1)

- For 1600 m bridge: L + 1600 = 20V ...(2)

- Subtract (1) from (2): (L + 1600) - (L + 1200) = 20V - 16V ? 400 = 4V ? V = 100 m/s.

- Speed in km/h = 100 × 18/5 = 360 km/h.

- Options review:

- 360 km/h (Correct—see above)

- 450 km/h (Too fast)

- 540 km/h (Much too fast)

- 270 km/h (Too slow)

Submit Error