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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