Bridge length from mixed data – train and time A 100 m train runs at 36 km/h and takes 25 s to pass a bridge. What is the bridge length?

Difficulty: Easy

Correct Answer: 150 meter

Explanation:

Introduction / Context:Again, distance covered equals train plus bridge lengths. Find speed in m/s, compute total distance via D = v * t, then subtract train length to get the bridge length.

Given Data / Assumptions:

  • L_train = 100 m.
  • v = 36 km/h = 10 m/s.
  • t = 25 s.

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

Step-by-Step Solution:

D = 10 * 25 = 250 mBridge = 250 - 100 = 150 m

Verification / Alternative check:At 10 m/s, the train covers 250 m in 25 s, enough for 100 m train plus 150 m bridge.

Why Other Options Are Wrong:144 m, 90 m, 540 m: Do not meet the computed D. Only 150 m matches.

Common Pitfalls:Not converting 36 km/h to 10 m/s, or subtracting incorrectly.

Final Answer:150 meter

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