Problem Statement
A train that is 300 meters long crosses an electric pole in 5 seconds. The objective is to find the speed of the train.
Solution Steps
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Identify Given Information:
- Train Length (Distance) = 300 m
- Time taken to cross the pole = 5 s
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Calculate Speed in meters per second (m/s):
When a train crosses an electric pole, the distance covered is equal to the length of the train.
The formula for speed is:
$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} $Substituting the values:
$ \text{Speed} = \frac{300 \text{ m}}{5 \text{ s}} = 60 \text{ m/s} $
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Convert Speed from m/s to kilometers per hour (km/h):
To convert speed from m/s to km/h, multiply by the conversion factor $\frac{18}{5}$.
$ \text{Speed (km/h)} = \text{Speed (m/s)} \times \frac{18}{5} $
$ \text{Speed (km/h)} = 60 \times \frac{18}{5} $
$ \text{Speed (km/h)} = 12 \times 18 $
$ \text{Speed (km/h)} = 216 \text{ km/h} $
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Final Answer:
The speed of the train is 216 km/h.
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Important Questions from Problem on Trains
Eight railway stations A, B, C, D, E, F, G and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.
If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C?
A daily train is to be introduced between station A and station B starting from each end at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the Shuttle Service?
A train with a uniform speed passes a 122 meters long platform in 17 seconds and a 210 meters long bridge in 25 seconds. The speed of the train is:
How long does a train 153 meters long running at the rate of 90 kmph take to cross a bridge 622 meters in length?
A train passes a 360 metre long platform in 40 seconds and a man standing on the platform in 16 seconds. The speed of the train is:
