Multiple choice

X and Y are two stations 500 km apart. A train starts from X and moves towards Y at the speed of 20 km/hr. Another train starts from Y at the same time and moves towards X at the speed of 30 km/hr. How far from station X will they cross each other?

  1. 200 km

  2. 300 km

  3. 120 km

  4. 40 km
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A Correct answer
Explanation

Relative speed = 20 + 30 = 50 km/hr. Time to meet = 500 / 50 = 10 hours. Distance from X = 20 km/hr * 10 hr = 200 km.

AI explanation

The relative speed of the two trains moving towards each other is 20 km/hr plus 30 km/hr, which equals 50 km/hr. They need to close a gap of 500 km, so the time taken to meet is 500 km divided by 50 km/hr, resulting in 10 hours. The train starting from X travels at 20 km/hr for 10 hours, covering a distance of 200 km from station X.

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