Two trains are moving in the opposite directions at 29 Km/hr and 25 km/hr. The faster train crosses a man in the slower train in 6 seconds. Find the length of the faster train.

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  1. 110 m
  2. 90 m
  3. 85 m
  4. 100 m

Answer (Detailed Solution Below)

Option 2 : 90 m
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सामान्य हिंदी सेक्शनल टेस्ट 1
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Detailed Solution

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Given:

Speed of faster train = 29 km/hr

Speed of slower train = 25 km/hr

Time taken to cross a man in the slower train = 6 seconds

Formula used:

Relative speed when moving in opposite directions = Speed of faster train + Speed of slower train

Length of the faster train = Relative speed × Time

Calculation:

Relative speed = 29 km/hr + 25 km/hr

Relative speed = 54 km/hr

Convert speed to m/s: 54 km/hr = 54 × (1000/3600) m/s = 15 m/s

⇒ Length of the faster train = 15 m/s × 6 s

⇒ Length of the faster train = 90 m

∴ The correct answer is option (2).

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