Multiple choice

ஒரு ரயிலானது ஒரு தந்தி கம்பம் மற்றும் 300 மீ நீளமுள்ள பாலத்தை முறையே 8,20 நொடிகளில் கடக்கிறது. எனில் ரயிலின் வேகம் என்ன? A train crosses a telegraph pole and a 300m long bridge in 8,20 seconds respectively. What is the speed of the train?

  1. 90 கி.மீ /மணி / 90 Km / hr

  2. 80 கி.மீ /மணி /80Km / hr

  3. 95 கி.மீ /மணி / 95 Km / hr

  4. 100 கி.மீ /மணி / 100 Km / hr

  5. இவற்றில் ஏதுமில்லை/None of these

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A Correct answer
Explanation

Let L be the length of the train and v be its speed. L = v * 8. L + 300 = v * 20. Substituting L, v*8 + 300 = v*20 => 12v = 300 => v = 25 m/s. Converting to km/hr: 25 * (18/5) = 90 km/hr.

AI explanation

Let the length of the train be L and its speed be v. Crossing the telegraph pole means the train covers its own length in 8 seconds, so L = 8v. Crossing the 300 m bridge means the train covers L + 300 meters in 20 seconds, so L + 300 = 20v. We substitute the first equation into the second to get 8v + 300 = 20v, which gives 12v = 300 and v = 25 m/s. Converting this speed to km/h gives 25 * (18/5) = 90 km/h. The speed of the train is 90 km/h.