Speed Conversion: km/h to m/s
This solution explains how to convert a given speed from kilometers per hour (km/h) to meters per second (m/s).
Given Speed
The speed of the train is provided as:
$180 \ \text{km/h}$
Conversion Factor Explained
To convert speed from km/h to m/s, we use the relationship between kilometers and meters, and hours and seconds.
- 1 kilometer = 1000 meters
- 1 hour = 3600 seconds
Therefore, the conversion factor is:
$1 \ \text{km/h} = \frac{1000 \ \text{m}}{3600 \ \text{s}} = \frac{5}{18} \ \text{m/s}$
Calculating Speed in m/s
Multiply the speed in km/h by the conversion factor $\frac{5}{18}$:
$ \text{Speed (m/s)} = 180 \ \text{km/h} \times \frac{5}{18} \ \frac{\text{m/s}}{\text{km/h}} $
Perform the calculation:
$ \text{Speed (m/s)} = \frac{180}{18} \times 5 $
$ \text{Speed (m/s)} = 10 \times 5 $
$ \text{Speed (m/s)} = 50 \ \text{m/s} $
Final Result
The train's speed expressed in meters per second is 50 m/s.
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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?
