DAY 168
A two-volume set of books stands on a shelf in the usual manner---Volume 1 to the left of Volume 2, the bindings facing out. The pages of each book are 3 inches thick, and the covers are 1/4 of an inch thick. A bookworm starts on the title page of Vol. 1 and eats through to the last page of Vol 2. How far did the bookworm travel?

Answer:

1/2 inch.........With the books in the standard position, the first page of Vol. 1 is next to the last page of Vol. 2. The bookworm only ate through the two covers.

DAY 169

A train signal light turns red every 6 minutes, another every 8 minutes, and a third every 10 minutes. At 2:00 p.m. all three signals are red. At what time will this next happen again?

Answer:

4:oo p.m.---------The LCM of 6, 8, and 10 is 120. 120 minutes = 2 hours.