Equal train and platform lengths – find train length A train and platform have equal lengths. The train runs at 90 km/h and crosses the platform in 1 minute. Find the train length.

Introduction / Context:
When train and platform lengths are equal, the total crossing distance is twice the train length. Convert the speed to m/s and multiply by time to get the total distance, then halve it.

Given Data / Assumptions:

• Speed = 90 km/h = 25 m/s.
• Crossing time = 60 s.
• Train length = platform length.

Concept / Approach:
Total distance D = v * t. With equal lengths, D = L + L = 2L, so L = D / 2.

Step-by-Step Solution:

Verification / Alternative check:
Reconstruct: Train 750 m + platform 750 m = 1500 m in 60 s at 25 m/s — consistent.

Why Other Options Are Wrong:
500 m, 550 m, 600 m: When doubled, these do not yield the 1500 m total distance implied by the given speed and time.

Common Pitfalls:
Forgetting to double the train length when platform length equals train length; or keeping speed in km/h with seconds.

Final Answer:
750 m