Question:medium

A train running at the speed of 90 km/h crosses a 400 m long tunnel in 40 seconds. What is the length of the train (in meters)?

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Convert speed into meters per second before using distance = speed × time. Total distance is train length plus tunnel length.
Updated On: Jan 16, 2026
  • 400
  • 600
  • 500
  • 550
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The Correct Option is B

Solution and Explanation

The train's speed is 90 km/h, which is equivalent to \(90 \times \frac{1000}{3600} = 25\) m/s. The time taken to cross the tunnel is 40 seconds. Let the length of the train be L meters. When crossing the tunnel, the train covers the tunnel's length plus its own length. Therefore, the total distance covered is \(400 + L\) meters. Applying the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \] we get: \[400 + L = 25 \times 40 = 1000 \text{ meters}\] Solving for L: \[L = 1000 - 400 = 600 \text{ meters}\]
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