Calculating Train Speed from Distance and Time

The problem asks us to find the speed of a train that travels a certain distance in a given amount of time, assuming the speed is uniform.

We are given the following information:

• Distance covered by the train = 338 meters (m)
• Time taken = 50 seconds (s)

To find the speed of an object moving at a uniform speed, we use the fundamental formula relating speed, distance, and time:

Speed = $\frac{\text{Distance}}{\text{Time}}$

We can substitute the given values into this formula:

Speed = $\frac{338 \text{ m}}{50 \text{ s}}$

Now, let's perform the calculation:

Speed = $6.76 \text{ m/s}$

So, the speed of the train is 6.76 meters per second.

This calculation shows that the train's speed is 6.76 m/s.

Revision Table: Understanding Speed, Distance, and Time

Additional Information on Uniform Speed and Units

When an object moves with uniform speed, it means it covers equal distances in equal intervals of time. The speed calculated using the formula $\text{Speed} = \frac{\text{Distance}}{\text{Time}}$ is constant throughout the motion.

The units of speed depend on the units used for distance and time. In this problem, distance is given in meters (m) and time in seconds (s), so the resulting speed is in meters per second (m/s). This is the standard SI unit for speed.

It's important to use consistent units when performing calculations. If the distance was in kilometers and time in hours, the speed would be in kilometers per hour (km/h). You might need to convert units if they are not consistent (e.g., converting km to m or hours to seconds).