Train Passing Post: Key Concepts
This problem involves calculating the time taken for a train of a specific length, moving at a constant speed, to pass a fixed point (a post). When a train passes a post, the distance it covers is equal to its own length.
Calculating Time to Pass Post
We need to find the time it takes for the train to cover its own length at the given speed.
- Given Information:
- Train Length (Distance, d) = 180 m
- Train Speed (s) = 90 km/h
- Step 1: Convert Speed to Meters per Second (m/s)
Since the distance is in meters, we must convert the speed from km/h to m/s for consistency. The conversion factor is $\frac{5}{18}$.
Speed in m/s = $90 \times \frac{5}{18}$
Speed = $5 \times 5 = 25$ m/s
- Step 2: Calculate Time
The formula relating time, distance, and speed is: Time = $\frac{\text{Distance}}{\text{Speed}}$
Time = $\frac{180 \text{ m}}{25 \text{ m/s}}$
Time = $7.2$ s
Therefore, it will take the train 7.2 seconds to pass the post.
Similar Questions
- A train overtakes two persons walking along a railway track. The first one walks at 9 km/hr. The other one walks at 12.6 km/hr. The train needs 13.5 and 15 seconds, respectively, to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
- A train that is 220 m long overtakes a man moving at a speed of 10 km/hr (in same direction) in 44 seconds. How much time (in seconds) will it take this train to completely cross another train of a length of 315 m, moving in the opposite direction at a speed of 79 km/hr?
- A 300-m-long train crosses an electric pole in 5 s. Find the speed of the train.
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- Two trains start from stations A and B and travel towards each other at the speeds of 60 km/h and 70 km/h respectively. At the time of their meeting, the second train has travelled 100 km more than the first. The distance between A and B is:
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- A train passes two bridges of lengths 600 m and 200 m in 80 s and 40 s respectively. The length of the train is:
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- A train passes two persons who are walking in the opposite direction of the train at the rates of $4 \text{ m/s}$ and $10 \text{ m/s}$ in 10 seconds and 8 seconds respectively. What is the speed of the train?
Important Questions from Problem on Trains
A train is to cover 370 km at a uniform speed. After running 100 km, the train could run at a speed 5 km/h less than its normal speed due to some technical fault. The train got delayed by 36 minutes. What is the normal speed of the train, in km/h?
A train travelling at 36 km/h crosses a pole in 25 seconds. How much time (in seconds) will it take to cross a bridge 250 m long?
A train covers 450 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less to cover the same distance. How much time will it take to cover 315 km at its usual speed?
A train crosses a pole in 12 sec, and a bridge of length 170 m in 36 sec. Then the speed of the train is:
The ratio of the speeds of two trains is 2 : 7. If the first train runs 250 km in 5 hours, then the sum of the speeds (in km/h) of both the trains is:
