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Time taken by two trains running in opposite directions to cross a man standing near a pole is 48 seconds and 38 seconds respectively and it took 42 seconds for the trains to cross each other. What is the ratio of the speed of the trains?
Correct answer is '2 : 3'. Can you explain this answer?
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Time taken by two trains running in opposite directions to cross a ma...
Both trains running in the opposite direction
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Both trains cross the man in 48 seconds and 38 seconds
Speed = Distance/Time
Relative speed = when train in opposite direction = (x + y)m/s
Let the speed of trains be x m/s and y m/s respectively,
Length of the first train = speed × time = 48x
Length of the second train = speed × time = 38y
(48x + 38y)/(x + y) = 42
⇒ 48x + 38y = 42x + 42y
⇒ 6x = 4y
⇒ x/y = 2/3
∴ The ratio of the speed of the trains is 2 : 3
Hence, the correct answer is 2 : 3.
Most Upvoted Answer
Time taken by two trains running in opposite directions to cross a ma...
Given information:
- Time taken by Train 1 to cross the man near the pole = 48 seconds
- Time taken by Train 2 to cross the man near the pole = 38 seconds
- Time taken by the trains to cross each other = 42 seconds
Approach:
- Let the speed of Train 1 be x m/s and the speed of Train 2 be y m/s.
- The distance between the trains is the sum of their lengths.
Calculations:
- In 48 seconds, Train 1 covers its length and the distance between the man and the pole.
- In 38 seconds, Train 2 covers its length and the distance between the man and the pole.
- In 42 seconds, both trains cover the sum of their lengths.
- Therefore, the ratio of their speeds is given by:
x / y = (48 - 42) / (42 - 38) = 6 / 4 = 3 / 2
Final Answer:
Therefore, the ratio of the speed of Train 1 to Train 2 is 3 : 2, which can also be expressed as 2 : 3.
- Time taken by Train 1 to cross the man near the pole = 48 seconds
- Time taken by Train 2 to cross the man near the pole = 38 seconds
- Time taken by the trains to cross each other = 42 seconds
Approach:
- Let the speed of Train 1 be x m/s and the speed of Train 2 be y m/s.
- The distance between the trains is the sum of their lengths.
Calculations:
- In 48 seconds, Train 1 covers its length and the distance between the man and the pole.
- In 38 seconds, Train 2 covers its length and the distance between the man and the pole.
- In 42 seconds, both trains cover the sum of their lengths.
- Therefore, the ratio of their speeds is given by:
x / y = (48 - 42) / (42 - 38) = 6 / 4 = 3 / 2
Final Answer:
Therefore, the ratio of the speed of Train 1 to Train 2 is 3 : 2, which can also be expressed as 2 : 3.
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Time taken by two trains running in opposite directions to cross a man standing near a pole is 48 seconds and 38 seconds respectively and it took 42 seconds for the trains to cross each other. What is the ratio of the speed of the trains?Correct answer is '2 : 3'. Can you explain this answer?
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Time taken by two trains running in opposite directions to cross a man standing near a pole is 48 seconds and 38 seconds respectively and it took 42 seconds for the trains to cross each other. What is the ratio of the speed of the trains?Correct answer is '2 : 3'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Time taken by two trains running in opposite directions to cross a man standing near a pole is 48 seconds and 38 seconds respectively and it took 42 seconds for the trains to cross each other. What is the ratio of the speed of the trains?Correct answer is '2 : 3'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Time taken by two trains running in opposite directions to cross a man standing near a pole is 48 seconds and 38 seconds respectively and it took 42 seconds for the trains to cross each other. What is the ratio of the speed of the trains?Correct answer is '2 : 3'. Can you explain this answer?.
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