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Two trains of equal length are running on parallel lines in the same direction at 54 km/hour and 36 km/hour. The faster train passes, the slower train in 18 seconds. the length of each train is:
- a)90 m
- b)45 m
- c)72.2 m
- d)81 m
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two trains of equal length are running on parallel lines in the same d...
As they are in the same direction,
Relative velocity = 54 – 36 = 18 km/h = 5m/s
This means that the situation is the same as one train moving at 18km/h past another train that is at rest.
⇒ The distance covered on passing the entire train = length of the moving train + length of the stationary train = 2l --(1)
Time taken = 18 sec ---(2)
∴ Distance = Speed × Time
⇒ 2l = 5 × 18
Thus, length of each train is 45m.
Relative velocity = 54 – 36 = 18 km/h = 5m/s
This means that the situation is the same as one train moving at 18km/h past another train that is at rest.
⇒ The distance covered on passing the entire train = length of the moving train + length of the stationary train = 2l --(1)
Time taken = 18 sec ---(2)
∴ Distance = Speed × Time
⇒ 2l = 5 × 18
Thus, length of each train is 45m.
Most Upvoted Answer
Two trains of equal length are running on parallel lines in the same d...
Given data:
- Speed of first train = 54 km/hour
- Speed of second train = 36 km/hour
- Relative speed = 54 - 36 = 18 km/hour = 5 m/s
- Time taken to pass = 18 seconds
Approach:
- When the faster train passes the slower train, the relative speed is the difference between their speeds.
- The time taken to pass is given as 18 seconds.
- We can use the formula:
Length of both trains = Relative speed x Time taken to pass
Calculation:
- Length of each train = 5 m/s x 18 s
- Length of each train = 90 meters
Therefore, the length of each train is 90 meters, which corresponds to option (b).
- Speed of first train = 54 km/hour
- Speed of second train = 36 km/hour
- Relative speed = 54 - 36 = 18 km/hour = 5 m/s
- Time taken to pass = 18 seconds
Approach:
- When the faster train passes the slower train, the relative speed is the difference between their speeds.
- The time taken to pass is given as 18 seconds.
- We can use the formula:
Length of both trains = Relative speed x Time taken to pass
Calculation:
- Length of each train = 5 m/s x 18 s
- Length of each train = 90 meters
Therefore, the length of each train is 90 meters, which corresponds to option (b).
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Two trains of equal length are running on parallel lines in the same direction at 54 km/hour and 36 km/hour. The faster train passes, the slower train in 18 seconds. the length of each train is:a)90 mb)45 mc)72.2 md)81 mCorrect answer is option 'B'. Can you explain this answer?
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Two trains of equal length are running on parallel lines in the same direction at 54 km/hour and 36 km/hour. The faster train passes, the slower train in 18 seconds. the length of each train is:a)90 mb)45 mc)72.2 md)81 mCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two trains of equal length are running on parallel lines in the same direction at 54 km/hour and 36 km/hour. The faster train passes, the slower train in 18 seconds. the length of each train is:a)90 mb)45 mc)72.2 md)81 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains of equal length are running on parallel lines in the same direction at 54 km/hour and 36 km/hour. The faster train passes, the slower train in 18 seconds. the length of each train is:a)90 mb)45 mc)72.2 md)81 mCorrect answer is option 'B'. Can you explain this answer?.
Two trains of equal length are running on parallel lines in the same direction at 54 km/hour and 36 km/hour. The faster train passes, the slower train in 18 seconds. the length of each train is:a)90 mb)45 mc)72.2 md)81 mCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two trains of equal length are running on parallel lines in the same direction at 54 km/hour and 36 km/hour. The faster train passes, the slower train in 18 seconds. the length of each train is:a)90 mb)45 mc)72.2 md)81 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains of equal length are running on parallel lines in the same direction at 54 km/hour and 36 km/hour. The faster train passes, the slower train in 18 seconds. the length of each train is:a)90 mb)45 mc)72.2 md)81 mCorrect answer is option 'B'. Can you explain this answer?.
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