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Question No. 1 Train A, which is 750 m long, travelling at a speed of 108 kmph crosses train B which is travelling in the opposite direction in x seconds. Train B is 100 m long platform in 15 seconds. What is the value of x ?
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Question No. 1 Train A, which is 750 m long, travelling at a speed of ...
Problem statement: Train A, which is 750 m long, travelling at a speed of 108 kmph crosses train B which is travelling in the opposite direction in x seconds. Train B is 100 m long platform in 15 seconds. What is the value of x?
Given:
- Length of train A = 750 m
- Speed of train A = 108 kmph
- Length of train B = 100 m
- Time taken by train B to cross a platform = 15 seconds
Approach:
- We need to find the time taken by Train A to cross Train B
- We can use relative speed to find the time taken
Solution:
- Let's first convert the speed of Train A in m/s:
Speed of Train A = 108 kmph = (108 * 1000) / (60 * 60) m/s = 30 m/s
- Relative speed of Train A and Train B:
Relative speed = (Speed of Train A + Speed of Train B)
As Train B is travelling in the opposite direction, its speed will be subtracted from the relative speed.
Relative speed = (30 + Speed of Train B) m/s
- Let's find the time taken by Train B to cross the platform:
Speed = Distance / Time
Speed of Train B = (100 / 15) m/s = 20 / 3 m/s
- Now, let's substitute the value of Speed of Train B in the relative speed equation:
Relative speed = (30 + (20 / 3)) m/s = (110 / 3) m/s
- Time taken by Train A to cross Train B:
Time = Distance / Speed
Distance = Length of Train A + Length of Train B
Distance = 750 + 100 = 850 m
Time taken by Train A = 850 / (110 / 3) = (850 * 3) / 110 seconds
Time taken by Train A = 25.91 seconds (approx)
Therefore, the value of x is 25.91 seconds.
Conclusion:
The time taken by Train A to cross Train B is 25.91 seconds.
Given:
- Length of train A = 750 m
- Speed of train A = 108 kmph
- Length of train B = 100 m
- Time taken by train B to cross a platform = 15 seconds
Approach:
- We need to find the time taken by Train A to cross Train B
- We can use relative speed to find the time taken
Solution:
- Let's first convert the speed of Train A in m/s:
Speed of Train A = 108 kmph = (108 * 1000) / (60 * 60) m/s = 30 m/s
- Relative speed of Train A and Train B:
Relative speed = (Speed of Train A + Speed of Train B)
As Train B is travelling in the opposite direction, its speed will be subtracted from the relative speed.
Relative speed = (30 + Speed of Train B) m/s
- Let's find the time taken by Train B to cross the platform:
Speed = Distance / Time
Speed of Train B = (100 / 15) m/s = 20 / 3 m/s
- Now, let's substitute the value of Speed of Train B in the relative speed equation:
Relative speed = (30 + (20 / 3)) m/s = (110 / 3) m/s
- Time taken by Train A to cross Train B:
Time = Distance / Speed
Distance = Length of Train A + Length of Train B
Distance = 750 + 100 = 850 m
Time taken by Train A = 850 / (110 / 3) = (850 * 3) / 110 seconds
Time taken by Train A = 25.91 seconds (approx)
Therefore, the value of x is 25.91 seconds.
Conclusion:
The time taken by Train A to cross Train B is 25.91 seconds.
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Question No. 1 Train A, which is 750 m long, travelling at a speed of 108 kmph crosses train B which is travelling in the opposite direction in x seconds. Train B is 100 m long platform in 15 seconds. What is the value of x ?
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Question No. 1 Train A, which is 750 m long, travelling at a speed of 108 kmph crosses train B which is travelling in the opposite direction in x seconds. Train B is 100 m long platform in 15 seconds. What is the value of x ? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Question No. 1 Train A, which is 750 m long, travelling at a speed of 108 kmph crosses train B which is travelling in the opposite direction in x seconds. Train B is 100 m long platform in 15 seconds. What is the value of x ? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Question No. 1 Train A, which is 750 m long, travelling at a speed of 108 kmph crosses train B which is travelling in the opposite direction in x seconds. Train B is 100 m long platform in 15 seconds. What is the value of x ?.
Question No. 1 Train A, which is 750 m long, travelling at a speed of 108 kmph crosses train B which is travelling in the opposite direction in x seconds. Train B is 100 m long platform in 15 seconds. What is the value of x ? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Question No. 1 Train A, which is 750 m long, travelling at a speed of 108 kmph crosses train B which is travelling in the opposite direction in x seconds. Train B is 100 m long platform in 15 seconds. What is the value of x ? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Question No. 1 Train A, which is 750 m long, travelling at a speed of 108 kmph crosses train B which is travelling in the opposite direction in x seconds. Train B is 100 m long platform in 15 seconds. What is the value of x ?.
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