Correct Answer: 150 m
Explanation:
Step 1: Understand the problem
Step 2: Find the speed of the train
Step 3: Use platform data to form an equation
Step 4: Equating both expressions for speed
L / 15 = (L + 100) / 25 Cross-multiply: 25L = 15(L + 100) 25L = 15L + 1500 25L - 15L = 1500 10L = 1500 L = 150
Answer: The length of the train is 150 meters.
This problem highlights how to apply the distance = speed × time formula in scenarios where a moving object (train) crosses a stationary object (pole or platform). The key is to set up the equations correctly and solve for the unknown.
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