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Train A crosses a pole in 20 seconds and crosses Train B of the same length running in the opposite direction in 25 seconds. If the speed of Train A is 25 m/s, what is the speed of Train B?
  • a)
    15 m/s
  • b)
    20 m/s
  • c)
    25 m/s
  • d)
    30 m/s
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Train A crosses a pole in 20 seconds and crosses Train B of the same l...
Given data:
- Speed of Train A = 25 m/s
- Time taken by Train A to cross a pole = 20 seconds
- Time taken by Train A to cross Train B = 25 seconds

Calculating the length of the trains:
- Let the length of both trains be 'x' meters.

Calculating the speed of Train B:
- When Train A crosses Train B, the effective length to be covered is the sum of lengths of both trains.
- Time taken by Train A to cross Train B = 25 seconds
- Relative speed = Speed of Train A + Speed of Train B
- Distance = Sum of lengths of both trains
- Using the formula Distance = Speed * Time, we have:
x + x = (25 + Speed of Train B) * 25
2x = 25*25 + 25*Speed of Train B
2x = 625 + 25*Speed of Train B
25*Speed of Train B = 2x - 625
Speed of Train B = (2x - 625) / 25

Substitute the value of x:
- From the given data, we know that Train A crosses a pole in 20 seconds.
- So, length of Train A = 25 m/s * 20 seconds = 500 meters
- Substitute x = 500 meters in the equation for Speed of Train B:
Speed of Train B = (2*500 - 625) / 25
Speed of Train B = (1000 - 625) / 25
Speed of Train B = 375 / 25
Speed of Train B = 15 m/s
Therefore, the speed of Train B is 15 m/s. Hence, option 'A' is correct.
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Community Answer
Train A crosses a pole in 20 seconds and crosses Train B of the same l...
Length of Train A = 20 × 25 = 500 meters
Combined length = 500 × 2 = 1000 meters

So the answer = 40 – 25 = 15 m/s
Hence, Option A is correct.
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