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Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?
- a)10 seconds
- b)12 seconds
- c)18 seconds
- d)14 seconds
- e)9 seconds
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two trains 128 meters and 122 meters long are running towards each oth...
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Two trains 128 meters and 122 meters long are running towards each oth...
Solution:
Given,
Length of first train = 128 m
Length of second train = 122 m
Speed of first train = 48 kmph
Speed of second train = 42 kmph
To find: In what time will they clear off each other from the moment they meet?
Let's assume that the time taken by the two trains to clear off each other is 't' seconds.
Approach:
When two trains are moving in opposite directions, they will clear off each other when the sum of their lengths is covered by the distance covered by both the trains. We can represent this mathematically as:
Distance covered by first train + Distance covered by second train = Sum of their lengths
Let's calculate the distance covered by each train in 't' seconds.
Distance covered by the first train in 't' seconds = (48 × 1000 × t) / 3600
= (4/5) t km
= (4/5) × t × 1000 m
Distance covered by the second train in 't' seconds = (42 × 1000 × t) / 3600
= (7/10) t km
= (7/10) × t × 1000 m
Now, substituting the above values in the equation, we get:
(4/5) × t × 1000 + (7/10) × t × 1000 = 128 + 122
8t/5 + 7t/10 = 250
16t/10 + 7t/10 = 250
23t/10 = 250
t = (250 × 10) / 23
t = 108.69 seconds
Therefore, the time taken by the two trains to clear off each other from the moment they meet is approximately 109 seconds or 10 seconds (rounded off to the nearest second).
Hence, option (A) is the correct answer.
Given,
Length of first train = 128 m
Length of second train = 122 m
Speed of first train = 48 kmph
Speed of second train = 42 kmph
To find: In what time will they clear off each other from the moment they meet?
Let's assume that the time taken by the two trains to clear off each other is 't' seconds.
Approach:
When two trains are moving in opposite directions, they will clear off each other when the sum of their lengths is covered by the distance covered by both the trains. We can represent this mathematically as:
Distance covered by first train + Distance covered by second train = Sum of their lengths
Let's calculate the distance covered by each train in 't' seconds.
Distance covered by the first train in 't' seconds = (48 × 1000 × t) / 3600
= (4/5) t km
= (4/5) × t × 1000 m
Distance covered by the second train in 't' seconds = (42 × 1000 × t) / 3600
= (7/10) t km
= (7/10) × t × 1000 m
Now, substituting the above values in the equation, we get:
(4/5) × t × 1000 + (7/10) × t × 1000 = 128 + 122
8t/5 + 7t/10 = 250
16t/10 + 7t/10 = 250
23t/10 = 250
t = (250 × 10) / 23
t = 108.69 seconds
Therefore, the time taken by the two trains to clear off each other from the moment they meet is approximately 109 seconds or 10 seconds (rounded off to the nearest second).
Hence, option (A) is the correct answer.
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Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer?
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Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer?.
Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer?.
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Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?a)10 secondsb)12 secondsc)18 secondsd)14 secondse)9 secondsCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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