Multiple choice

சம நீளமுள்ள இரு ரயில்கள் இணை பாதைகளில் ஒரே திசையில் மணிக்கு 56 கி.மீ மற்றும் 66கி.மீ என்ற வேகங்கள் முறையே செல்கிறது. வேகமான ரயில் மெதுவான ரயிலை 36 நொடிகளில் கடக்கிறது. எனில் இரயிலின் நீளம் என்ன? Two equal-length trains run at speeds of 56 km / h and 66 km / h respectively in the same direction. The fast train crosses the slow train in 36 seconds. What is the length of the train?

  1. 100மீ/100m

  2. 80மீ/80m

  3. 50 மீ/50m

  4. 60 மீ/60m

  5. இவற்றில் ஏதுமில்லை/None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed = 66 - 56 = 10 km/h = 10 * 5/18 m/s = 25/9 m/s. Distance = Speed * Time = (25/9) * 36 = 100m. Since two trains have equal length L, 2L = 100, L = 50m.

AI explanation

When two trains move in the same direction, their relative speed is the difference between their speeds: 66 km/h minus 56 km/h, which equals 10 km/h. Converting this relative speed to meters per second requires multiplying by 5/18, yielding 25/9 m/s. Let the length of one train be L meters; because the trains are of equal length, the total distance the faster train must cover to pass the slower one is 2L. Using the formula distance equals speed multiplied by time, we write 2L equals (25/9) multiplied by 36 seconds, which simplifies to 2L equals 100. Solving for L gives a train length of 50 m. The length of each train is 50 m.