This solution details how to calculate the distance a train travels based on its speed and the time elapsed.
To find the distance, we use the formula: Distance = Speed × Time.
First, we need to make the units consistent. Convert the time from minutes to hours:
$ \text{Time (h)} = \frac{20 \text{ min}}{60 \text{ min/h}} = \frac{1}{3} \text{ h} $
Now, apply the distance formula using the speed and the time in hours:
$ \text{Distance} = 75 \text{ km/h} \times \frac{1}{3} \text{ h} $
$ \text{Distance} = 25 \text{ km} $
Therefore, the train travels 25 km in 20 minutes.
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