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Two trains are running at opposite direction with the same speed. If the length of each train is 280 meters and they cross each other in 14 seconds. The speed of each train (in m/sec):
- a)10
- b)20
- c)17
- d)31
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two trains are running at opposite direction with the same speed. If t...
The length of two trains = 280
They cross each other in 14 seconds.
∴ Relative Speed, V = (2 × 280)/14 = 40 m/sec
∴ The speed of each train,
⇒ 2V = 40
⇒ V = 20 m/sec
They cross each other in 14 seconds.
∴ Relative Speed, V = (2 × 280)/14 = 40 m/sec
∴ The speed of each train,
⇒ 2V = 40
⇒ V = 20 m/sec
Most Upvoted Answer
Two trains are running at opposite direction with the same speed. If t...
The length of two trains = 280
They cross each other in 14 seconds.
∴ Relative Speed, V = (2 × 280)/14 = 40 m/sec
∴ The speed of each train,
⇒ 2V = 40
⇒ V = 20 m/sec
They cross each other in 14 seconds.
∴ Relative Speed, V = (2 × 280)/14 = 40 m/sec
∴ The speed of each train,
⇒ 2V = 40
⇒ V = 20 m/sec
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Community Answer
Two trains are running at opposite direction with the same speed. If t...
Given Information:
- Length of each train = 280 meters
- Trains are running in opposite directions
- They cross each other in 14 seconds
To Find:
The speed of each train (in m/sec)
Approach:
To find the speed of each train, we need to determine the relative speed of the two trains when they cross each other. Since they are running in opposite directions, their speeds will be added.
Calculation:
Let the speed of each train be 'x' m/sec.
The relative speed of the two trains when they cross each other = (Speed of the first train + Speed of the second train)
Relative speed = x + x = 2x m/sec
The total distance covered by both trains is the sum of their lengths.
Total distance = Length of first train + Length of second train
Total distance = 280 + 280 = 560 meters
The time taken to cross each other is given as 14 seconds.
The formula to calculate speed is: Speed = Distance/Time
So, the relative speed of the trains is:
2x = Total distance / Time taken to cross each other
2x = 560 / 14
2x = 40
x = 40 / 2
x = 20 m/sec
Hence, the speed of each train is 20 m/sec, which corresponds to option B.
Summary:
The speed of each train is 20 m/sec. When two trains are running in opposite directions, their speeds are added to find the relative speed. By using the formula for speed (Speed = Distance/Time), we can determine the speed of each train.
- Length of each train = 280 meters
- Trains are running in opposite directions
- They cross each other in 14 seconds
To Find:
The speed of each train (in m/sec)
Approach:
To find the speed of each train, we need to determine the relative speed of the two trains when they cross each other. Since they are running in opposite directions, their speeds will be added.
Calculation:
Let the speed of each train be 'x' m/sec.
The relative speed of the two trains when they cross each other = (Speed of the first train + Speed of the second train)
Relative speed = x + x = 2x m/sec
The total distance covered by both trains is the sum of their lengths.
Total distance = Length of first train + Length of second train
Total distance = 280 + 280 = 560 meters
The time taken to cross each other is given as 14 seconds.
The formula to calculate speed is: Speed = Distance/Time
So, the relative speed of the trains is:
2x = Total distance / Time taken to cross each other
2x = 560 / 14
2x = 40
x = 40 / 2
x = 20 m/sec
Hence, the speed of each train is 20 m/sec, which corresponds to option B.
Summary:
The speed of each train is 20 m/sec. When two trains are running in opposite directions, their speeds are added to find the relative speed. By using the formula for speed (Speed = Distance/Time), we can determine the speed of each train.
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Two trains are running at opposite direction with the same speed. If the length of each train is 280 meters and they cross each other in 14 seconds. The speed of each train (in m/sec):a)10b)20c)17d)31Correct answer is option 'B'. Can you explain this answer?
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