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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?

Answers

Both trains running in the opposite direction
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.

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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 2023 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 2023 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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Both trains running in the opposite directionBoth trains cross the man in 48 seconds and 38 secondsSpeed = Distance/TimeRelative speed = when train in opposite direction = (x + y)m/sLet the speed of trains be x m/s and y m/s respectively,Length of the first train = speed × time = 48xLength 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 : 3Hence, the correct answer is 2 : 3.