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A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?
- a)31 sec
- b)19 sec
- c)54 sec
- d)11 sec
- e)41 sec
Correct answer is option 'B'. Can you explain this answer?
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A train A is running in direction opposite to a train B. The speed of ...
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A train A is running in direction opposite to a train B. The speed of ...
Given data:
- Speed of train A = 72 kmph
- Time taken by train A to cross a pole = 12 seconds
- Speed of train B = 54 kmph
- Time taken by train B to cross a platform of length 120 m = 112/3 seconds
To find: Time taken by train A to cross train B
Approach:
1. First, we need to find the length of train A or train B. Let's assume the length of train A is L1.
2. Using the formula, distance = speed × time, we can calculate the length of train A as follows:
- Distance covered by train A in 12 seconds = L1
- Speed of train A = 72 kmph = 20 m/s (1 kmph = 5/18 m/s)
- Therefore, L1 = 20 × 12 = 240 m
3. Now, let's find the length of train B. Let's assume the length of train B is L2.
4. Using the formula, distance = speed × time, we can calculate the length of train B as follows:
- Distance covered by train B in 112/3 seconds = Length of platform + Length of train B
- Speed of train B = 54 kmph = 15 m/s (1 kmph = 5/18 m/s)
- Length of platform = 120 m
- Therefore, (120 + L2) = 15 × 112/3 = 560 m (distance covered by train B in 112/3 seconds)
- Therefore, L2 = 440 m
5. Let's assume that both trains meet after time 't'.
6. Using the formula, distance = speed × time, we can write the following equation:
- Distance covered by train A in time 't' = Distance covered by train B in time 't' + L2
- Speed of train A = 72 kmph = 20 m/s
- Speed of train B = 54 kmph = 15 m/s
- Distance covered by train A in time 't' = 20t
- Distance covered by train B in time 't' = 15t
- Therefore, 20t = 15t + 440 (adding L2 on both sides)
- Therefore, t = 88/5 seconds = 17.6 seconds (dividing both sides by 5)
Therefore, the approximate time taken by train A to cross train B is 17.6 seconds, which is closest to option B (19 seconds).
- Speed of train A = 72 kmph
- Time taken by train A to cross a pole = 12 seconds
- Speed of train B = 54 kmph
- Time taken by train B to cross a platform of length 120 m = 112/3 seconds
To find: Time taken by train A to cross train B
Approach:
1. First, we need to find the length of train A or train B. Let's assume the length of train A is L1.
2. Using the formula, distance = speed × time, we can calculate the length of train A as follows:
- Distance covered by train A in 12 seconds = L1
- Speed of train A = 72 kmph = 20 m/s (1 kmph = 5/18 m/s)
- Therefore, L1 = 20 × 12 = 240 m
3. Now, let's find the length of train B. Let's assume the length of train B is L2.
4. Using the formula, distance = speed × time, we can calculate the length of train B as follows:
- Distance covered by train B in 112/3 seconds = Length of platform + Length of train B
- Speed of train B = 54 kmph = 15 m/s (1 kmph = 5/18 m/s)
- Length of platform = 120 m
- Therefore, (120 + L2) = 15 × 112/3 = 560 m (distance covered by train B in 112/3 seconds)
- Therefore, L2 = 440 m
5. Let's assume that both trains meet after time 't'.
6. Using the formula, distance = speed × time, we can write the following equation:
- Distance covered by train A in time 't' = Distance covered by train B in time 't' + L2
- Speed of train A = 72 kmph = 20 m/s
- Speed of train B = 54 kmph = 15 m/s
- Distance covered by train A in time 't' = 20t
- Distance covered by train B in time 't' = 15t
- Therefore, 20t = 15t + 440 (adding L2 on both sides)
- Therefore, t = 88/5 seconds = 17.6 seconds (dividing both sides by 5)
Therefore, the approximate time taken by train A to cross train B is 17.6 seconds, which is closest to option B (19 seconds).
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A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer?
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A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer?.
A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A train A is running in direction opposite to a train B. The speed of train A is 72 kmph and it crosses a pole in 12 seconds. Train B also crosses a platform of length 120 m with a speed of 54 kmph in 112/3 seconds. Find approximately in what time train A will cross train B ?a)31 secb)19 secc)54 secd)11 sece)41 secCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
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