Question

A goods train runs at the speed of 72 kmph and crosses a 250m long platform in 26 seconds. What is the length of the goods train?

• A. 230 meters
• B. 240 meters
• C. 260 meters
• D. 270 meters

Hint:

When solving such problems, first convert units to be consistent, then use the formula for distance covered to find the missing length.

Answer 1

The Correct Option is D

We are given:
- Speed of the train = 72 km/h
- Length of the platform = 250 meters
- Time taken to cross the platform = 26 seconds
First, convert the speed from km/h to m/s: \[ \text{Speed in m/s} = \frac{72 \times 1000}{3600} = 20 \text{ m/s} \] Next, we use the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \] The total distance covered by the train while crossing the platform is the sum of the length of the train and the length of the platform.
So, \[ \text{Distance} = \text{Speed} \times \text{Time} = 20 \times 26 = 520 \text{ meters} \] Now, the length of the train = Total distance - Length of the platform = \[ 520 - 250 = 270 \text{ meters} \] Thus, the length of the goods train is 270 meters.