A train of length 60 meters is running with a velocity of 20 m/s. The engine driver sees that a signal post 440 meters is red, but before he pulls the brakes it turns green and so the trains maintain its velocity. Find the time the train takes to pass the signal post.
Question
A train of length 60 meters is running with a velocity of 20 m/s. The engine driver sees that a signal post 440 meters is red, but before he pulls the brakes it turns green and so the trains maintain its velocity. Find the time the train takes to pass the signal post.
Solution
To solve this problem, we need to understand that the time it takes for the train to pass the signal post is the same as the time it takes for the train to cover the distance equal to the length of the train plus the distance to the signal post.
Given:
- Length of the train (L) = 60 meters
- Distance to the signal post (D) = 440 meters
- Velocity of the train (V) = 20 m/s
We can use the formula for time (T) which is distance (D) divided by velocity (V).
So, the total distance the train needs to cover is the length of the train plus the distance to the signal post (D + L).
Therefore, the time it takes for the train to pass the signal post is (D + L) / V.
Substituting the given values into the formula, we get:
T = (440m + 60m) / 20 m/s T = 500m / 20 m/s T = 25 seconds
So, the train takes 25 seconds to pass the signal post.
Similar Questions
The correct answer is: The train takes 3 seconds to pass the signal post. See the diagram below that shows the motion of the train. The star shows the front (engine) of the train.The time of passing starts from time T2T 2 and lasts till time T3T 3 . Let this time be = T3T 3 - T2T 2 = T seconds.Then the distance moved by the engine (star on the train) during the passing time is = 20 m/s ×× T seconds = 20T metersBut from the diagram it is clear that this distance is the length of the train = 60 meters. So: 20 ×× T = 60 ⇒⇒ T = 3 seconds.
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