Bridge length from mixed time – fast train A 150 m train at 90 km/h crosses a bridge in 26 s. What is the bridge length?

Difficulty: Easy

Correct Answer: 500 m

Explanation:

Introduction / Context:Calculate total distance covered during the crossing time, then subtract train length to get the bridge length. Unit conversion remains essential.

Given Data / Assumptions:

  • L = 150 m.
  • v = 90 km/h = 25 m/s.
  • t = 26 s.

Concept / Approach:D = v * t; bridge = D - L.

Step-by-Step Solution:

D = 25 * 26 = 650 mBridge = 650 - 150 = 500 m

Verification / Alternative check:At 25 m/s, 26 s gives 650 m which equals 150 m train + 500 m bridge.

Why Other Options Are Wrong:600 m and 550 m overshoot; 659 m is not founded on the given numbers.

Common Pitfalls:Forgetting to subtract the train's own length from the total distance.

Final Answer:500 m

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