Answer:
The speed of cyclist is 0.1 mile per minute.
And the cyclist will trek 1 mile in 10 minutes.
Explanation:
Given:
A cyclist rides his bike at a speed of 6 miles per hour.
Now, to get the speed of cyclist in miles per minute. And miles the cyclist trek in 10 minutes.
As, 1 hour = 60 minutes.
Now, to solve by using unitary method:
If, in 60 minutes cyclist rides 6 miles.
Then, in 1 minute cyclist rides =

So, in 10 minutes the cyclist trek =

Therefore, the speed is 0.1 mile per minute.
And the cyclist will trek 1 mile in 10 minutes.