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Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
  • a)
    1 : 3
  • b)
    3 : 2
  • c)
    3 : 4
  • d)
    1 : 2
  • e)
    3 : 5
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two trains running in opposite directions cross a man standing on the...
Let the speeds of the two trains be x m/sec and y m/sec .
Then, length of the first train = 27x metres
and length of the second train = 17y metres.
∴ 27x + 17y / x + y ​=23
27x + 17y = 23x + 23y
4x = 6y
x / y ​ = 3 / 2 ​
Hence The ratio of their speeds is  3 : 2
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Most Upvoted Answer
Two trains running in opposite directions cross a man standing on the...
Given Data:
- Time taken by the first train to cross the man = 27 seconds
- Time taken by the second train to cross the man = 17 seconds
- Time taken by both trains to cross each other = 23 seconds

Approach:
Let the speeds of the first train and the second train be x and y respectively.

Calculations:
- Distance covered by the first train in 27 seconds = 27x
- Distance covered by the second train in 17 seconds = 17y
- When they cross each other, the sum of their distances will be equal to the sum of their lengths.
Therefore, 27x + 17y = 23(x + y)
Simplifying the above equation, we get:
27x + 17y = 23x + 23y
4x = 6y
x/y = 6/4 = 3/2

Conclusion:
The ratio of the speeds of the first train to the second train is 3:2. Hence, the correct answer is option B) 3:2.
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Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:a)1 : 3b)3 : 2c)3 : 4d)1 : 2e)3 : 5Correct answer is option 'B'. Can you explain this answer?
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Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:a)1 : 3b)3 : 2c)3 : 4d)1 : 2e)3 : 5Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:a)1 : 3b)3 : 2c)3 : 4d)1 : 2e)3 : 5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:a)1 : 3b)3 : 2c)3 : 4d)1 : 2e)3 : 5Correct answer is option 'B'. Can you explain this answer?.
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