Step 1: Understand the problem
- The train is 300 meters long.
- It takes 18 seconds to pass a signal pole.
- It takes 39 seconds to cross a platform.
- We need to find the length of the platform.
Step 2: Calculate the speed of the train
- When a train crosses a signal pole, it covers a distance equal to its own length.
- Speed = Distance / Time = 300 / 18 = 16.67 m/s
Step 3: Use speed to find platform length
- When a train crosses a platform, it covers its own length + length of platform.
- Total time to cross platform = 39 seconds
- Distance = Speed × Time = 16.67 × 39 = 650.13 meters
- Distance includes 300 meters of train + platform length
- Platform length = 650.13 - 300 = 350.13 meters
Answer: The length of the platform is approximately 350 meters.
This problem demonstrates how to calculate distance using the formula distance = speed × time. Knowing how long the train takes to cross a pole helps us calculate its speed, which we can then use to determine how long a platform is when the total time is known.
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