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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?
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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
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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.
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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?
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