Calculating Athlete Speed in km/h
To find the athlete's speed in kilometers per hour (km/h), we first calculate the speed in meters per second (m/s) and then convert it.
Step 1: Calculate Speed in Meters per Second (m/s)
The formula for speed is:
$Speed = Distance / Time$
Given:
- Distance = 300 meters
- Time = 25 seconds
Plugging the values into the formula:
$Speed = 300 m / 25 s$
$Speed = 12 m/s$
Step 2: Convert Speed from m/s to km/h
To convert meters per second (m/s) to kilometers per hour (km/h), we use the conversion factor:
$1 m/s = 18/5 km/h$
Applying this conversion to the calculated speed:
$Speed (km/h) = Speed (m/s) * (18/5)$
$Speed (km/h) = 12 * (18/5)$
$Speed (km/h) = (12 * 18) / 5$
$Speed (km/h) = 216 / 5$
$Speed (km/h) = 43.2 km/h$
Conclusion
The athlete's speed is 43.2 km/h.
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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?
