Class 12 Exam > Class 12 Questions > A train passes two persons walking in opposit...
Start Learning for Free
A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?
- a)140 m
- b)150 m
- c)160 m
- d)120 m
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A train passes two persons walking in opposite directions at a speed o...
Let the speed of the train be 's' m/s.
Let the length of the train be 'x' meters.
Relative speed of train and the first person who is moving at the speed of 5 m/s in opposite direction = (s+5) m/s.
Therefore, total distance travelled (i.e length of train) 'x'= Relative speed X time
x = (s+5) * 6 …. ( Eq 1)
Relative speed of train and the second person who is moving at the speed of 10 m/s in opposite direction = (s+10) m/s
Therefore, total distance travelled (i.e length of train) 'x' = Relative speed X time
x = (s+10) * 5 …. (Eq 2)
Since length of the train is same in both the cases, if we equate the equation 1 and equation 2 we get
⇒ (s+5) * 6 = (s+10) * 5
⇒ 6s+30= 5s+50
⇒ 6s - 5s = 50 - 30
⇒ s = 20 m/s (i.e speed of the train)
Now, putting the value of speed of the train in equation 1 (we can put the value equation 2 as well) we get
Length of the train 'x' = (20+5) * 6
- x = 25 * 6
- x= 150
Therefore, length of the train is 150 meters.
Free Test
FREE
| Start Free Test |
Community Answer
A train passes two persons walking in opposite directions at a speed o...
To find the length of the train, we need to consider the relative speeds and times it takes for the train to pass the two persons walking in opposite directions.
Let's assume the length of the train is 'L' meters.
Given:
Speed of the first person = 5 m/s
Time taken to pass the first person = 6 seconds
Speed of the second person = 10 m/s
Time taken to pass the second person = 5 seconds
Let's calculate the distance covered by the train while passing each person.
Distance covered by the train while passing the first person:
Distance = Speed × Time
Distance = 5 m/s × 6 s
Distance = 30 meters
Distance covered by the train while passing the second person:
Distance = Speed × Time
Distance = 10 m/s × 5 s
Distance = 50 meters
Since the two persons are walking in opposite directions, the total distance covered by the train while passing both persons is the sum of the distances covered while passing each person.
Total distance covered = 30 meters + 50 meters
Total distance covered = 80 meters
Now, we know that the total distance covered by the train is equal to the length of the train.
Therefore, the length of the train is 80 meters.
However, none of the given options match the calculated length. So, there might be an error in the question or options provided.
Let's assume the length of the train is 'L' meters.
Given:
Speed of the first person = 5 m/s
Time taken to pass the first person = 6 seconds
Speed of the second person = 10 m/s
Time taken to pass the second person = 5 seconds
Let's calculate the distance covered by the train while passing each person.
Distance covered by the train while passing the first person:
Distance = Speed × Time
Distance = 5 m/s × 6 s
Distance = 30 meters
Distance covered by the train while passing the second person:
Distance = Speed × Time
Distance = 10 m/s × 5 s
Distance = 50 meters
Since the two persons are walking in opposite directions, the total distance covered by the train while passing both persons is the sum of the distances covered while passing each person.
Total distance covered = 30 meters + 50 meters
Total distance covered = 80 meters
Now, we know that the total distance covered by the train is equal to the length of the train.
Therefore, the length of the train is 80 meters.
However, none of the given options match the calculated length. So, there might be an error in the question or options provided.
|
Explore Courses for Class 12 exam
|
|
Top Courses for Class 12View all
Question Description
A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer?.
A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A train passes two persons walking in opposite directions at a speed of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train?a)140 mb)150 mc)160 md)120 mCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup