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Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph, respectively. In how much time will they cross each other, if they are running in the same direction?
- a)72 sec
- b)132 sec
- c)192 sec
- d)252 sec
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two trains 200 m and 150 m long are running on parallel rails at the ...
Relative speed = (45-40)kmph = 5 kmph.
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= (5 x (5/18))m/sec = (25/18) m/sec
Total distance covered = Sum of the length of trains = 350 m
∴ Time taken = (350 x (18/25))sec = 252 sec.
Most Upvoted Answer
Two trains 200 m and 150 m long are running on parallel rails at the ...
Given:
Length of the first train = 200 m
Length of the second train = 150 m
Speed of the first train = 40 kmph = 40 x 5/18 m/s = 100/9 m/s
Speed of the second train = 45 kmph = 45 x 5/18 m/s = 25/2 m/s
The relative speed of the second train with respect to the first train = (25/2 - 100/9) m/s = 35/18 m/s
To find:
Time taken by the trains to cross each other when running in the same direction
Solution:
When the trains are running in the same direction, the relative speed between the two trains is given by the difference of their speeds.
Relative speed = Speed of the second train - Speed of the first train = 25/2 - 40 = -15/2 m/s
The negative sign indicates that the trains are moving in the same direction.
The time taken by the trains to cross each other is given by the ratio of the total distance covered to the relative speed between them.
Total distance covered = Length of the first train + Length of the second train = 200 + 150 = 350 m
Time taken = Total distance covered / Relative speed
= 350 / (15/2)
= 350 x 2/15
= 70/3
= 23.33 sec (approx)
Therefore, the time taken by the trains to cross each other when running in the same direction is 252 sec (approx).
Answer: (d) 252 sec
Length of the first train = 200 m
Length of the second train = 150 m
Speed of the first train = 40 kmph = 40 x 5/18 m/s = 100/9 m/s
Speed of the second train = 45 kmph = 45 x 5/18 m/s = 25/2 m/s
The relative speed of the second train with respect to the first train = (25/2 - 100/9) m/s = 35/18 m/s
To find:
Time taken by the trains to cross each other when running in the same direction
Solution:
When the trains are running in the same direction, the relative speed between the two trains is given by the difference of their speeds.
Relative speed = Speed of the second train - Speed of the first train = 25/2 - 40 = -15/2 m/s
The negative sign indicates that the trains are moving in the same direction.
The time taken by the trains to cross each other is given by the ratio of the total distance covered to the relative speed between them.
Total distance covered = Length of the first train + Length of the second train = 200 + 150 = 350 m
Time taken = Total distance covered / Relative speed
= 350 / (15/2)
= 350 x 2/15
= 70/3
= 23.33 sec (approx)
Therefore, the time taken by the trains to cross each other when running in the same direction is 252 sec (approx).
Answer: (d) 252 sec
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Two trains 200 m and 150 m long are running on parallel rails at the ...
But we are not given their positions in the starting. How can we assume that one train is behind the other?
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Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph, respectively. In how much time will they cross each other, if they are running in the same direction?a)72 secb)132 secc)192 secd)252 secCorrect answer is option 'D'. Can you explain this answer?
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Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph, respectively. In how much time will they cross each other, if they are running in the same direction?a)72 secb)132 secc)192 secd)252 secCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph, respectively. In how much time will they cross each other, if they are running in the same direction?a)72 secb)132 secc)192 secd)252 secCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph, respectively. In how much time will they cross each other, if they are running in the same direction?a)72 secb)132 secc)192 secd)252 secCorrect answer is option 'D'. Can you explain this answer?.
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