A train crosses a platform in 43 seconds. The train’s length is 170 m, but the platform length is not given. What is the speed of the train?

Difficulty: Easy

Correct Answer: Cannot be determined

Explanation:

Introduction / Context:When a train crosses a platform, the distance covered equals train length + platform length. Without the platform length, speed cannot be uniquely computed from time alone.

Given Data / Assumptions:

  • Train length = 170 m.
  • Time to cross platform = 43 s.
  • Platform length = unknown.

Concept / Approach:Speed v = (L_train + L_platform) / t. Since L_platform is missing, v has infinitely many possible values depending on L_platform.

Step-by-Step Solution:

Let Lp be platform length. Then v = (170 + Lp)/43.Different Lp give different v; no unique v can be determined.

Verification / Alternative check:If it were a signal post (Lp = 0), v = 170/43 ≈ 3.95 m/s (≈ 14.2 km/h), but platform is explicitly stated, so Lp ≠ 0.

Why Other Options Are Wrong:Numerical speeds like 233, 243, 265 km/h are unjustified without Lp. They are unrealistically high as well.

Common Pitfalls:Assuming platform length is zero; treating it as the same as a pole/post case.

Final Answer:Cannot be determined

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