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A train passes an electrical pole in 30 seconds and passes a platform 240 m long in 2 Minutes. Find the length of the train:
- a)120 m
- b)60 m
- c)100 m
- d)80 m
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A train passes an electrical pole in 30 seconds and passes a platform ...
Let the length of the train be D metres and speed of the train be S m/s
Now As per the basic formula of speed,
S = D/T
Where S = Speed, D = Distance, T = Time
As the train passes an electric pole in 30 seconds
S = D/30 ........eq(i)
As train passes a platform 240 m long in 120 seconds
S = (D + 240)/120 .....eq(ii)
from eq(i) and (ii) we get
D/30 = (D + 240)/120
∴ 4D = D + 240
∴ 3D = 240
∴ D = 80 m
Most Upvoted Answer
A train passes an electrical pole in 30 seconds and passes a platform ...
Given:
Time taken to pass an electrical pole = 30 seconds
Time taken to pass a platform = 2 minutes = 120 seconds
Length of the platform = 240 m
To find:
Length of the train
Let's assume the length of the train as 'x' meters.
Time taken to pass the platform includes the time taken to pass both the train and the platform. So, we can divide this time into two parts:
1. Time taken to pass the train
2. Time taken to pass the platform
We know that the speed of the train is constant. Therefore, the ratio of the distances covered in these two parts will be equal to the ratio of the times taken.
- First, let's calculate the speed of the train:
The distance covered in 30 seconds (to pass the electrical pole) is equal to the length of the train.
So, the speed of the train = Distance/Time = x/30 m/s
- Now, let's calculate the distance covered in 120 seconds (to pass the platform):
The distance covered includes the length of the train and the length of the platform.
So, the distance covered = x + 240 m
Now, we can set up a proportion to find the length of the train:
(x + 240)/120 = x/30
Cross-multiplying this proportion, we get:
120x = 30(x + 240)
Simplifying the equation:
120x = 30x + 7200
90x = 7200
x = 7200/90
x = 80
Therefore, the length of the train is 80 meters. Hence, the correct answer is option 'D'.
Time taken to pass an electrical pole = 30 seconds
Time taken to pass a platform = 2 minutes = 120 seconds
Length of the platform = 240 m
To find:
Length of the train
Let's assume the length of the train as 'x' meters.
Time taken to pass the platform includes the time taken to pass both the train and the platform. So, we can divide this time into two parts:
1. Time taken to pass the train
2. Time taken to pass the platform
We know that the speed of the train is constant. Therefore, the ratio of the distances covered in these two parts will be equal to the ratio of the times taken.
- First, let's calculate the speed of the train:
The distance covered in 30 seconds (to pass the electrical pole) is equal to the length of the train.
So, the speed of the train = Distance/Time = x/30 m/s
- Now, let's calculate the distance covered in 120 seconds (to pass the platform):
The distance covered includes the length of the train and the length of the platform.
So, the distance covered = x + 240 m
Now, we can set up a proportion to find the length of the train:
(x + 240)/120 = x/30
Cross-multiplying this proportion, we get:
120x = 30(x + 240)
Simplifying the equation:
120x = 30x + 7200
90x = 7200
x = 7200/90
x = 80
Therefore, the length of the train is 80 meters. Hence, the correct answer is option 'D'.
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A train passes an electrical pole in 30 seconds and passes a platform 240 m long in 2 Minutes. Find the length of the train:a)120 mb)60 mc)100 md)80 mCorrect answer is option 'D'. Can you explain this answer?
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