Question

Two trains are moving in opposite directions at speeds of 60 km/h and 50 km/h. The length of one train is 430 m. The time taken by them to cross each other is 44 seconds. The length (in m) of the other train, correct to 2 decimal places, is:

• A. 916.15
• B. 914.64
• C. 913.17
• D. 912.67

Answer 1

Answer:

B. 914.64

We are given:

• Speed of trains = 60 km/h and 50 km/h

• Length of one train = 430 m

• Time to cross each other = 44 seconds

• They move in opposite directions

  Relative speed

Opposite directions → add speeds:

$60 + 50 = 110 \text{ km/h}$

Convert to m/s:
$110 \times \frac{5}{18} = \frac{550}{18} = 30.56 \text{ m/s}$

Total distance covered in 44 seconds

$\text{Distance} = 30.56 \times 44 = 1344.64 \text{ m}$

Total length of both trains

Let unknown train length = x

x + 430 = 1344.64

x = 1344.64 - 430 = 914.64

Final Answer: 914.64 m