Respuesta :
The speed of Makayla and Nathan are 12 mph and 20 mph respectively.
What is relation between speed and time?
- A moving body's speed is the distance it travels in one unit of time. If the distance is in kilometers and the time is in hours, the speed is in kilometers per hour.
- If the distance is expressed in meters and the time is measured in seconds, the speed is measured in meters per second.
Let the speed of Makayla is 'x' mph.
and the speed of Nathan is 'y' mph.
The total distance travelled by both is 129 miles.
The time taken by each is 6 hours, same for both.
Speed = distance / time
Distance = speed × time
Makayla's covered distance = xt
Nathan's covered distance = yt
Total distance = xt + yt
xt + yt = 192
As, Nathan travels 8 mph faster than makayla.
The,
y = x + 8, t = 6 hours substitute;
xt + (x+ 8)t = 192
2x + 8 = 192/6
On simplification;
x = 12 mph (Makayla's speed)
Y = x + 8
y = 12 + 8
y = 20 mph (Nathan's speed)
Therefore, the speed of Makayla and Nathan are x = 12 mph and y = 20 mph respective;y.
To know more about the speed and time, here
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