Duplicate tunnel setup – compute tunnel length A 700 m train runs at 72 km/h and crosses a tunnel in 1 minute. What is the tunnel length?

Difficulty: Easy

Correct Answer: 500 m

Explanation:

Introduction / Context:This is the same structure as a prior item: total distance in the interval equals train length plus tunnel length. Convert speed and multiply by time to get distance.

Given Data / Assumptions:

  • Train length = 700 m.
  • Speed = 72 km/h = 20 m/s.
  • Time = 60 s.

Concept / Approach:Compute D and subtract train length to find tunnel length.

Step-by-Step Solution:

D = 20 * 60 = 1200 mTunnel length = 1200 - 700 = 500 m

Verification / Alternative check:Adding back: 700 + 500 = 1200 m in 60 s at 20 m/s — consistent.

Why Other Options Are Wrong:550 m and 600 m lead to too much distance; 700 m confuses tunnel length with total. Only 500 m works.

Common Pitfalls:Using only tunnel length in D = v*t. Always include the train length for clearing a tunnel.

Final Answer:500 m

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