Problem:
Moe uses a mower to cut his rectangular -foot by -foot lawn. The swath he cuts is inches wide, but he overlaps each cut by inches to make sure that no grass is missed. He walks at the rate of feet per hour while pushing the mower. Which of the following is closest to the number of hours it will take Moe to mow his lawn?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The area of the lawn is
Moe cuts about two square feet for each foot he pushes the mower forward, so he cuts per hour. Therefore, it takes about hours.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions