Kevin hiked each day for a week. The first day he hiked ⅙ of a mile, the second day he hiked ½ of a mile, and the third day he hiked ⅚ of a mile. By how much did he increase the distance he hiked each day.

Answer: he increased the distance he hiked each day by 1/3 mile

Step-by-step explanation:

The first day he hiked 1/6 of a mile, the second day he hiked 1/2 of a mile. The amount by which his distance increased between the first and second day is

1/2 - 1/6 = 2/6 = 1/3 mile

the third day he hiked 5/6 of a mile. The amount by which his distance increased between the second and third day is

5/6 - 1/2 = 2/6 = 1/3 mile