Question

Two trains travelling in opposite directions cross each other in 25 seconds. If the length of both the trains is 250 m each and the speed of one of them is 45 km/hr, what would be the speed of the other train?

• A. 24 km/hr
• B. 15 km/hr
• C. 27 km/hr
• D. 17 km/hr

Answer 1

Answer:

C. 27 km/hr

When two trains cross each other in opposite directions, their relative speed is the sum of their speeds.

Total distance covered

Both trains have length 250 m each:

$\text{Total distance} = 250 + 250 = 500 \text{ m}$
Time = 25 seconds

$\text{Relative speed} = \frac{500}{25} = 20 \text{ m/s}$
Convert to km/hr

$20 \times \frac{18}{5} = 72 \text{ km/hr}$

So, relative speed = 72 km/hr

Find speed of the other train

Let speed of other train = (x)

45 + x = 72
$x = 72 - 45 = 27 \text{ km/hr}$
Final Answer:

$\boxed{27 \text{ km/hr}}$