Distance Calculation Explained
This solution details how to calculate the distance a train travels based on its speed and the time elapsed.
Given Information
- Uniform Speed = $75 \text{ km/h}$
- Time = $20 \text{ minutes}$
Travel Distance Calculation
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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Important Questions from Speed Time and Distance
A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
A car starts from point A towards point B, travelling at the speed of 20 km/h. 1 \(\frac{1}{2}\) hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 \(\frac{1}{2}\) hours before the first car. Find the distance between A and B.
A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken ?
An athlete runs an 800 m race in 96 seconds. His speed (in km / h) is:
A person has to cover a distance of 150 km in 15 hours. If he traveled with the speed of 11.8 km/hr for 10 hours. At what speed he has to travel to cover the remaining distance in the remaining time?
