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A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Difficulty: Medium

Correct Answer: 79.20 km/hr

Explanation:

Given Data

  • Passing a post in 8 s
  • Passing a 264 m bridge in 20 s
  • Required: train speed (km/hr)

Step 1: Let length = L and speed = v m/s
From post: L ÷ v = 8 ⇒ L = 8v


Step 2: Use bridge crossing
(L + 264) ÷ v = 20 ⇒ (8v + 264)/v = 208 + 264/v = 20 ⇒ v = 22 m/s


Step 3: Convert to km/hr
22 × (18/5) = 79.20 km/hr


Final Answer
Speed of the train is 79.20 km/hr.

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