DIRECTIONS: Choose the most appropriate answer.Q. A train travelling a...
Let 'x' be the length of the train.
Let 'S' be the speed of train.
Distance travelled by train to cross the platform = ( x + 200)m
According to question
(x + 200) = S × 10 sec. ...(1)
Distance travelled by train to cross he telegraph post = xm
According to question
x = S × 5 sec. ...(2)
Puting 'x' value in (1) from (2)
(5S + 200) = 10S
200 = 10S – 5S = 5S
S = 40 m/s
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DIRECTIONS: Choose the most appropriate answer.Q. A train travelling a...
Given Information:
- The train clears a platform 200 m long in 10 seconds.
- The train passes a telegraph post in 5 seconds.
Calculating the Speed:
To find the speed of the train, we need to calculate the distance covered in a given time.
Distance covered while clearing the platform:
The train takes 10 seconds to clear a platform that is 200 m long. Therefore, the distance covered while clearing the platform is 200 m.
Distance covered while passing the telegraph post:
The train takes 5 seconds to pass a telegraph post. Since the length of the telegraph post is negligible, we can assume that the distance covered while passing the telegraph post is negligible.
Total Distance covered:
The total distance covered by the train is the sum of the distance covered while clearing the platform and the distance covered while passing the telegraph post.
Total Distance = Distance covered while clearing the platform + Distance covered while passing the telegraph post
Total Distance = 200 m + negligible distance
Total Distance = 200 m
Calculating Speed:
Speed = Distance/Time
Speed = Total Distance/Total Time
Speed = 200 m/5 s
Speed = 40 m/s
Converting Speed to km/h:
To convert the speed from m/s to km/h, we multiply it by 18/5.
Speed in km/h = (40 m/s) x (18/5)
Speed in km/h = 144 km/h
Therefore, the speed of the train is 144 km/h.
Answer:
The correct answer is option C) 72 km/h.