Multiple choice

200 மீ நீளமுள்ள இரு ரயில்கள் எதிர்திசையில் சென்று 8 நொடிகளில் ஒன்றையொன்று கடக்கிறது. ஒரு ரயில் மற்றொரு ரயிலை விட இரு மடங்கு வேகமாக சென்றால், வேகமாக செல்லும் ரயிலின் வேகம் என்ன? Two 200-meter trains go in opposite directions and cross each other in 8 seconds. If a train goes twice as fast as another train, what is the speed of a fast-moving train?

  1. 120 கி.மீ/ மணி / 120 km / h

  2. 100 கி.மீ/ மணி /100km / h

  3. 125 கி.மீ/ மணி/ 125km / h

  4. 95 கி.மீ/ மணி 95 km / h

  5. இவற்றில் ஏதுமில்லை/None of these

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A Correct answer
Explanation

Relative speed = (200+200)m / 8s = 400/8 = 50 m/s. 50 m/s = 50 * 18/5 = 180 km/h. Let speeds be v and 2v. v + 2v = 180 => 3v = 180 => v = 60. Fast train = 2v = 120 km/h.

AI explanation

Let the speeds of the two trains be x and 2x. Because they travel in opposite directions, their relative speed is x + 2x = 3x. The total distance covered is the sum of their lengths, which is 200 + 200 = 400 meters. We use the formula distance = speed * time, so 400 = 3x * 8, which gives 24x = 400 and x = 50/3 m/s. The speed of the faster train is 2x, which is 100/3 m/s. We multiply by 18/5 to convert this to km/h, resulting in (100/3) * (18/5) = 120 km/h. The speed of the fast-moving train is 120 km/h.