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
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:
