Using the relation between velocity, distance and time, it is found that it took the knight 20 hours to traveled from one kingdom to another.
Velocity is distance divided by time, hence:
v = d/t
On the first day, he traveled at a speed of 10 mph, a distance of d, hence:
10 = d/t
t = d/10
On the second day, he traveled at a speed of 8 mph, a distance of 180 - d, hence:
8 = (180 - d)/t
t = (180 - d)/8
Equaling both equations for t, we find the distance on the first day, hence:
d/10 = (180 - d)/8
8d = 1800 - 10d
18d = 1800
d = 100 miles.
The time on the first day was:
t = 0.1d = 0.1 x 100 = 10 hours.
On the second day he traveled the same amount of time, hence, in total, he traveled 20 hours.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
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