Answer:
It will take 45 seconds a carpenter to cut a 4 in. by 4 in. by 8 ft. piece of treated lumber into four pieces .
Explanation:
Given :Each cut takes 15 seconds.
To Find :How long will it take a carpenter to cut a 4 in. by 4 in. by 8 ft. piece of treated lumber into four pieces ?
Solution:
To divide 1 piece into two pieces we need to make 1 cut
To Divide 1 piece into 3 pieces we need to make 2 cut
So, To divide the 1 piece in n pieces we need to make n-1 cuts
Now we are given that Carpenter is dividing the piece into 4 pieces
So, Number of cuts need to be drawn = n-1 = 4-1 = 3
1 cut takes time = 15 seconds
So, 3 cut takes time =

Hence it will take 45 seconds a carpenter to cut a 4 in. by 4 in. by 8 ft. piece of treated lumber into four pieces .