Multiple choice

Two trains of length $500\, m$ and $1000\,m$ moving in opposite direction with same speed crosses each other in $10\, sec$, find their speed :

  1. $75\, m/s$
  2. $150\, m/s$
  3. $100\, m/s$

  4. None of these
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A Correct answer
Explanation

Relative speed = Total distance / Time = (500 + 1000) / 10 = 1500 / 10 = 150 m/s. Since they move in opposite directions, relative speed = v1 + v2. Given v1 = v2, 2v = 150, so v = 75 m/s.

AI explanation

When two trains move in opposite directions, their relative speed is the sum of their individual speeds. Using the formula distance equals speed multiplied by time, we set up the equation for the total distance of 1500 m: 2v * 10 s = 1500 m. Solving for v gives v = 75 m/s. The speed of the trains is 75 m/s.

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