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If it takes 20 seconds for a train to cross a 60 meters long platform, and a man standing on platform observes that it took 16 seconds for train to cross him. Find the speed of train.
- a)36 kmph
- b)45 kmph
- c)50 kmph
- d)54 kmph
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If it takes 20 seconds for a train to cross a 60 meters long platform,...
Let the length of train be x meters.
The speed of train be y m/s.
The speed of train be y m/s.
Since, Train is crossing a man, so the distance travelled by train to pass a man is equal to its own length.
Now, as we know that Speed = Distance/Time
∴ y = x/16
⇒ x = 16y
While crossing the platform total distance covered by train would be summation of length of train and length of platform.
∵ Speed = distance/time
∴ y = (x + 60)/20
⇒ 20y = x + 60
⇒ x = 20y – 60
On equating value of x, we get
16y = 20y – 60
⇒ 4y = 60
⇒ y = 15 m/s.
⇒ y =
kmph = 54 kmph
kmph = 54 kmphSpeed of train is 54 kmph.
Most Upvoted Answer
If it takes 20 seconds for a train to cross a 60 meters long platform,...
Given:
Length of the platform = 60 m
Time taken by the train to cross the platform = 20 sec
Time taken by the train to cross the man = 16 sec
To find: Speed of the train
Using the formula,
Speed = Distance / Time
Let's first find the speed of the train when it crosses the platform.
Speed = Distance / Time
Speed = 60 / 20
Speed = 3 m/s
Now, let's find the actual distance traveled by the train to cross the man.
Distance = Speed x Time
Distance = 3 x 16
Distance = 48 m
Since the train has to cross both the platform and the man, the actual length of the train can be calculated as follows:
Actual length of train = Distance covered by train - Length of platform
Actual length of train = 48 - 60
Actual length of train = -12 m
The negative value indicates that the train is actually shorter than the length of the platform. This could be due to a timing error or a measurement error.
Now, let's find the speed of the train using the actual distance traveled.
Speed = Distance / Time
Speed = 48 / 16
Speed = 3 m/s
We need to convert the speed to kmph.
Speed in kmph = Speed in m/s x 18 / 5
Speed in kmph = 3 x 18 / 5
Speed in kmph = 54 kmph
Therefore, the speed of the train is 54 kmph.
Length of the platform = 60 m
Time taken by the train to cross the platform = 20 sec
Time taken by the train to cross the man = 16 sec
To find: Speed of the train
Using the formula,
Speed = Distance / Time
Let's first find the speed of the train when it crosses the platform.
Speed = Distance / Time
Speed = 60 / 20
Speed = 3 m/s
Now, let's find the actual distance traveled by the train to cross the man.
Distance = Speed x Time
Distance = 3 x 16
Distance = 48 m
Since the train has to cross both the platform and the man, the actual length of the train can be calculated as follows:
Actual length of train = Distance covered by train - Length of platform
Actual length of train = 48 - 60
Actual length of train = -12 m
The negative value indicates that the train is actually shorter than the length of the platform. This could be due to a timing error or a measurement error.
Now, let's find the speed of the train using the actual distance traveled.
Speed = Distance / Time
Speed = 48 / 16
Speed = 3 m/s
We need to convert the speed to kmph.
Speed in kmph = Speed in m/s x 18 / 5
Speed in kmph = 3 x 18 / 5
Speed in kmph = 54 kmph
Therefore, the speed of the train is 54 kmph.
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