Quant Exam > Quant Questions > Two trains of 400 m and 350 m long are runnin...
Start Learning for Free
Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?
- a)5 sec
- b)9 sec
- c)12 sec
- d)None
- e)All of the above
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Two trains of 400 m and 350 m long are running on parallel tracks at t...
Relative speed=180+120=300kmph=300×5/18m/s
Total length to be covered=400+350=750m
Now,time=Distance/Speed
Therefore,750/300×18/5=9 sec
Total length to be covered=400+350=750m
Now,time=Distance/Speed
Therefore,750/300×18/5=9 sec
Free Test
FREE
| Start Free Test |
Community Answer
Two trains of 400 m and 350 m long are running on parallel tracks at t...
Solution:
Given,
Length of first train (l1) = 400 m
Length of second train (l2) = 350 m
Speed of first train (s1) = 180 km/h
Speed of second train (s2) = 120 km/h
We need to find the time taken by the trains to cross each other when they are running in opposite directions.
When two trains are moving in opposite directions, their relative speed is equal to the sum of their speeds.
Relative speed of the two trains = (s1 + s2) = (180 + 120) km/h = 300 km/h
We need to convert this speed to m/s to get the time in seconds.
Relative speed in m/s = (300 x 5/18) m/s = 83.33 m/s
Let us assume that the two trains meet after t seconds.
Distance covered by the first train in t seconds = l1 + (s1 x t)
Distance covered by the second train in t seconds = l2 + (s2 x t)
Since the two trains are moving towards each other, the total distance covered by both the trains will be equal to the sum of their lengths.
Total distance covered by both the trains = l1 + l2 = 400 + 350 = 750 m
Equating the total distance covered by both the trains to the sum of the distances covered by each train, we get:
l1 + (s1 x t) + l2 + (s2 x t) = 750
Substituting the given values, we get:
400 + (180 x t) + 350 + (120 x t) = 750
Simplifying the above equation, we get:
t = 9 seconds
Therefore, the two trains will take 9 seconds to cross each other when they are running in opposite directions.
Answer: Option B) 9 seconds.
Given,
Length of first train (l1) = 400 m
Length of second train (l2) = 350 m
Speed of first train (s1) = 180 km/h
Speed of second train (s2) = 120 km/h
We need to find the time taken by the trains to cross each other when they are running in opposite directions.
When two trains are moving in opposite directions, their relative speed is equal to the sum of their speeds.
Relative speed of the two trains = (s1 + s2) = (180 + 120) km/h = 300 km/h
We need to convert this speed to m/s to get the time in seconds.
Relative speed in m/s = (300 x 5/18) m/s = 83.33 m/s
Let us assume that the two trains meet after t seconds.
Distance covered by the first train in t seconds = l1 + (s1 x t)
Distance covered by the second train in t seconds = l2 + (s2 x t)
Since the two trains are moving towards each other, the total distance covered by both the trains will be equal to the sum of their lengths.
Total distance covered by both the trains = l1 + l2 = 400 + 350 = 750 m
Equating the total distance covered by both the trains to the sum of the distances covered by each train, we get:
l1 + (s1 x t) + l2 + (s2 x t) = 750
Substituting the given values, we get:
400 + (180 x t) + 350 + (120 x t) = 750
Simplifying the above equation, we get:
t = 9 seconds
Therefore, the two trains will take 9 seconds to cross each other when they are running in opposite directions.
Answer: Option B) 9 seconds.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect 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 Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect 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 Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer?.
Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect 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 Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect 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 Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two trains of 400 m and 350 m long are running on parallel tracks at the rate of 180 km/h and 120 km/h respectively. How long will they take to cross each other if they are running in opposite direction?a)5 secb)9 secc)12 secd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
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