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The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A?
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The ratio of the speed of two trains A and B is 11: 8 and train C can ...
Understanding Train Speeds
- The ratio of speeds of trains A and B is 11:8.
- Let the speed of train B be 8x, hence the speed of train A becomes 11x.
Speed of Train C
- Train C crosses a pole in 15 seconds with a length of 420m.
- Speed of train C = Length / Time = 420m / 15s = 28 m/s.
- Train C's speed is 12.5% less than B's speed:
- 28 m/s = B's speed - (12.5/100) * B's speed
- This leads to B's speed = 28 m/s * (100/87.5) = 32 m/s.
Finding Speed of Train A
- Since B's speed = 8x, we have 8x = 32 m/s.
- Thus, x = 4 m/s, making A's speed = 11x = 44 m/s.
Crossing Each Other
- Trains A and B cross each other in 15 seconds.
- Relative speed when moving in opposite directions = A's speed + B's speed = 44 m/s + 32 m/s = 76 m/s.
- Distance covered while crossing = Relative speed * Time = 76 m/s * 15s = 1140m.
Length of Trains A and B
- Let the length of train A be L meters.
- Length of train B = L + 150m.
- Therefore, L + (L + 150) = 1140m.
- This simplifies to 2L + 150 = 1140m, leading to 2L = 990m, so L = 495m.
Conclusion
- The length of train A is 495 meters.
- The ratio of speeds of trains A and B is 11:8.
- Let the speed of train B be 8x, hence the speed of train A becomes 11x.
Speed of Train C
- Train C crosses a pole in 15 seconds with a length of 420m.
- Speed of train C = Length / Time = 420m / 15s = 28 m/s.
- Train C's speed is 12.5% less than B's speed:
- 28 m/s = B's speed - (12.5/100) * B's speed
- This leads to B's speed = 28 m/s * (100/87.5) = 32 m/s.
Finding Speed of Train A
- Since B's speed = 8x, we have 8x = 32 m/s.
- Thus, x = 4 m/s, making A's speed = 11x = 44 m/s.
Crossing Each Other
- Trains A and B cross each other in 15 seconds.
- Relative speed when moving in opposite directions = A's speed + B's speed = 44 m/s + 32 m/s = 76 m/s.
- Distance covered while crossing = Relative speed * Time = 76 m/s * 15s = 1140m.
Length of Trains A and B
- Let the length of train A be L meters.
- Length of train B = L + 150m.
- Therefore, L + (L + 150) = 1140m.
- This simplifies to 2L + 150 = 1140m, leading to 2L = 990m, so L = 495m.
Conclusion
- The length of train A is 495 meters.
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The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A?
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The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A?.
The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A?.
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The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A?, a detailed solution for The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A? has been provided alongside types of The ratio of the speed of two trains A and B is 11: 8 and train C can cross a pole in 15 seconds. Length of train C is 420m and its speed is 12.5% less than B. Trains A and B can cross each other in opposite direction in 15 seconds and the length of B is 150m more than A. What is the length (in m) of A? theory, EduRev gives you an
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