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Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will take
- a)10 sec
- b)12 sec
- c)9 sec
- d)8 sec
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two trains 108 m and 112 m in length are running towards each other on...
Relative speed =
Distance covered in crossing each other = (108+112) = 220m
Required time
Distance covered in crossing each other = (108+112) = 220m
Required time
Most Upvoted Answer
Two trains 108 m and 112 m in length are running towards each other on...
Solution:
Given,
Length of first train = 108 m
Length of second train = 112 m
Speed of first train = 45 km/hr
Speed of second train = 54 km/hr
To find: Time taken to cross each other after they meet
Let the two trains meet at a point A and cross each other at a point B.
Distance travelled by first train to reach point A = Length of first train = 108 m
Distance travelled by second train to reach point A = Length of second train = 112 m
Total distance travelled by both trains to reach point A = 108 m + 112 m = 220 m
Relative speed of two trains = Speed of first train + Speed of second train
= (45 + 54) km/hr
= 99 km/hr
= (99 x 5/18) m/s [1 km/hr = 5/18 m/s]
= 27.5 m/s
Time taken by two trains to meet at point A = Distance/Relative speed
= 220/27.5
= 8 seconds
To cross each other, the distance to be covered will be the sum of the lengths of two trains.
Distance to be covered = Length of first train + Length of second train
= 108 m + 112 m
= 220 m
Relative speed of two trains = Speed of first train + Speed of second train
= (45 + 54) km/hr
= 99 km/hr
= (99 x 5/18) m/s [1 km/hr = 5/18 m/s]
= 27.5 m/s
Time taken by two trains to cross each other = Distance/Relative speed
= 220/27.5
= 8 seconds
Hence, the time taken to cross each other after they meet is 8 seconds.
Given,
Length of first train = 108 m
Length of second train = 112 m
Speed of first train = 45 km/hr
Speed of second train = 54 km/hr
To find: Time taken to cross each other after they meet
Let the two trains meet at a point A and cross each other at a point B.
Distance travelled by first train to reach point A = Length of first train = 108 m
Distance travelled by second train to reach point A = Length of second train = 112 m
Total distance travelled by both trains to reach point A = 108 m + 112 m = 220 m
Relative speed of two trains = Speed of first train + Speed of second train
= (45 + 54) km/hr
= 99 km/hr
= (99 x 5/18) m/s [1 km/hr = 5/18 m/s]
= 27.5 m/s
Time taken by two trains to meet at point A = Distance/Relative speed
= 220/27.5
= 8 seconds
To cross each other, the distance to be covered will be the sum of the lengths of two trains.
Distance to be covered = Length of first train + Length of second train
= 108 m + 112 m
= 220 m
Relative speed of two trains = Speed of first train + Speed of second train
= (45 + 54) km/hr
= 99 km/hr
= (99 x 5/18) m/s [1 km/hr = 5/18 m/s]
= 27.5 m/s
Time taken by two trains to cross each other = Distance/Relative speed
= 220/27.5
= 8 seconds
Hence, the time taken to cross each other after they meet is 8 seconds.
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Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will takea)10 secb)12 secc)9 secd)8 secCorrect answer is option 'D'. Can you explain this answer?
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Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will takea)10 secb)12 secc)9 secd)8 secCorrect answer is option 'D'. Can you explain this answer? for Defence 2025 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will takea)10 secb)12 secc)9 secd)8 secCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will takea)10 secb)12 secc)9 secd)8 secCorrect answer is option 'D'. Can you explain this answer?.
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Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will takea)10 secb)12 secc)9 secd)8 secCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will takea)10 secb)12 secc)9 secd)8 secCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will takea)10 secb)12 secc)9 secd)8 secCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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