To solve this problem, we should set up a proportion, letting x represent our unknown number of miles that Wayne walks in one hour.
1/6 mile / 1/10 hours = x miles / 1 hour
Now we use cross-products or the multiplication of the numerator of one fraction times the denominator of the other fraction, setting these two numbers equal. The resulting equation is:
1/6 = 1/10x
Finally, we must divide both sides by 1/10 to cancel it out on the right side of the equation and get the variable x alone.
x = 5/3 or 1 2/3
Therefore, Wayne walks 1 2/3 miles per hour.