To find out how far Liam can run in 1 hour at the given rate, you can set up a proportion:
(2 1/8 miles) / (1/5 hour) = x miles / 1 hour
First, convert the mixed number to an improper fraction:
2 1/8 = 17/8
Now, the equation becomes:
(17/8 miles) / (1/5 hour) = x miles / 1 hour
To solve for x, multiply both sides by 5 (the reciprocal of 1/5):
(17/8) * 5 = x
Now, calculate the left side:
(17/8) * 5 = 85/8 miles
So, Liam can run 85/8 miles in 1 hour, which is equal to 10 5/8 miles.