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Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?
  • a)
    Insufficient data
  • b)
    3 : 1
  • c)
    1 : 3
  • d)
    3 : 2
Correct answer is option 'D'. 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 respectively.

Then, length of the first train = 27x meters,
Length of the second train = 17y meters.
[distance = speed*time]

(27x+17y)/(x+y)=23

=>27x+17y=23x+23y

=>4x=6y

=>x/y=6/4=3/2=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 two trains to cross a man standing on the platform in opposite directions = 27 seconds and 17 seconds respectively
- Time taken by them to cross each other = 23 seconds

To find: Ratio of their speeds

Assumption: Let the speed of the first train be x and the speed of the second train be y

Approach:
- Let us assume that the length of the first train is L1 and the length of the second train is L2
- When the two trains are crossing each other, the distance covered by them will be equal to the sum of their lengths (L1 + L2)
- We know that time taken to cross each other is 23 seconds. Hence, using the formula, speed = distance/time, we can find the relative speed of the two trains when they are crossing each other.
- Relative Speed = (L1 + L2)/23
- When the two trains are crossing the man standing on the platform, the distance covered by them will be equal to the sum of their length and the distance covered by them while crossing each other.
- Hence, we can write the equation as (L1 + L2) + speed of first train * 27 = speed of second train * 17
- Substituting the value of the relative speed in the above equation, we get (L1 + L2) + x * 27 = y * 17 + (L1 + L2)/23 * 17
- Simplifying the above equation, we get (x - y) = (L1 + L2)/391
- Since we don't have the values of L1 and L2, we cannot find the exact value of the ratio of their speeds. However, we can say that the ratio of their speeds will be (x/y) = (1 + (L1 + L2)/391)

Answer: Option (D) 3:2 (as we can see that (x/y) will be greater than 1)
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Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?a)Insufficient datab)3 : 1 c)1 : 3 d)3 : 2Correct answer is option 'D'. 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 . If they cross each other in 23 seconds, what is the ratio of their speeds?a)Insufficient datab)3 : 1 c)1 : 3 d)3 : 2Correct answer is option 'D'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?a)Insufficient datab)3 : 1 c)1 : 3 d)3 : 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 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 . If they cross each other in 23 seconds, what is the ratio of their speeds?a)Insufficient datab)3 : 1 c)1 : 3 d)3 : 2Correct answer is option 'D'. Can you explain this answer?.
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