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Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
- a)10
- b)25
- c)12
- d)20
Correct answer is option 'C'. Can you explain this answer?
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Given:
- Length of each train = 120 meters
- Time taken by first train to cross a post = 10 seconds
- Time taken by second train to cross a post = 15 seconds
To find:
- Time taken by the two trains to cross each other when traveling in opposite directions
Solution:
When two objects cross each other, the total distance covered by both objects is equal to the sum of their lengths.
Let's consider the distance covered by the first train when it crosses the second train:
- The length of the first train = 120 meters
- The time taken by the first train to cross a post = 10 seconds
- Therefore, the speed of the first train = Distance / Time = 120 / 10 = 12 m/s
Similarly, let's consider the distance covered by the second train when it crosses the first train:
- The length of the second train = 120 meters
- The time taken by the second train to cross a post = 15 seconds
- Therefore, the speed of the second train = Distance / Time = 120 / 15 = 8 m/s
When the two trains are traveling in opposite directions, their speeds are added together.
- Total speed = Speed of first train + Speed of second train = 12 + 8 = 20 m/s
Now, let's calculate the time taken by the two trains to cross each other when traveling in opposite directions:
- Total distance to be covered = Length of first train + Length of second train = 120 + 120 = 240 meters
- Time taken = Distance / Speed = 240 / 20 = 12 seconds
Therefore, the time taken by the two trains to cross each other when traveling in opposite directions is 12 seconds. Hence, the correct answer is option (c) 12.
- Length of each train = 120 meters
- Time taken by first train to cross a post = 10 seconds
- Time taken by second train to cross a post = 15 seconds
To find:
- Time taken by the two trains to cross each other when traveling in opposite directions
Solution:
When two objects cross each other, the total distance covered by both objects is equal to the sum of their lengths.
Let's consider the distance covered by the first train when it crosses the second train:
- The length of the first train = 120 meters
- The time taken by the first train to cross a post = 10 seconds
- Therefore, the speed of the first train = Distance / Time = 120 / 10 = 12 m/s
Similarly, let's consider the distance covered by the second train when it crosses the first train:
- The length of the second train = 120 meters
- The time taken by the second train to cross a post = 15 seconds
- Therefore, the speed of the second train = Distance / Time = 120 / 15 = 8 m/s
When the two trains are traveling in opposite directions, their speeds are added together.
- Total speed = Speed of first train + Speed of second train = 12 + 8 = 20 m/s
Now, let's calculate the time taken by the two trains to cross each other when traveling in opposite directions:
- Total distance to be covered = Length of first train + Length of second train = 120 + 120 = 240 meters
- Time taken = Distance / Speed = 240 / 20 = 12 seconds
Therefore, the time taken by the two trains to cross each other when traveling in opposite directions is 12 seconds. Hence, the correct answer is option (c) 12.
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Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. Can you explain this answer?
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Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. 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 having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. 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 having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. Can you explain this answer?.
Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. 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 having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. 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 having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. Can you explain this answer?.
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Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?a)10b)25c)12d)20Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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