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Train-A crosses a pole in 25 seconds and another Train-B crosses as pole in 1 minute and 15 seconds. The Length of the train-A is half the length of the train-B. What is the respective ratio between the speed of the train-A and the train-B? 
  • a)
    3 : 2
  • b)
    3 : 4
  • c)
    4 : 3
  • d)
    cannot be determined 
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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Train-A crosses a pole in 25 seconds and another Train-B crosses as po...
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Train-A crosses a pole in 25 seconds and another Train-B crosses as po...
Given information:
- Train-A crosses a pole in 25 seconds
- Train-B crosses a pole in 1 minute and 15 seconds (i.e. 75 seconds)
- Length of train-A is half the length of train-B

To find: Ratio between the speed of train-A and train-B

Solution:
Let's assume the length of train-B as 'L' and length of train-A as 'L/2'

Speed of train-A = distance/time
Distance covered by train-A in 25 seconds = length of train-A = L/2
Speed of train-A = (L/2)/25 = L/50

Speed of train-B = distance/time
Distance covered by train-B in 75 seconds = length of train-B = L
Speed of train-B = L/75

Ratio of the speeds of train-A and train-B = (L/50)/(L/75) = (L/50) x (75/L) = 3/2

Therefore, the respective ratio between the speed of train-A and train-B is 3:2.

Answer: Option A (3:2)
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Train-A crosses a pole in 25 seconds and another Train-B crosses as pole in 1 minute and 15 seconds. The Length of the train-A is half the length of the train-B. What is the respective ratio between the speed of the train-A and the train-B?a)3 : 2b)3 : 4c)4 : 3d)cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?
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