Gail is a server at a restaurant. On Saturday, Gail gets up at 6:30 a.m., starts work at $x$ a.m. and finishes at $x$ p.m. How long does Gail work on Saturday?
(A) $24-2 x$ hours
(D) 0 hours
(B) $12-x$ hours
(C) $2 x$ hours
(E) 12 hours
Solution 1

Between $x$ a.m. and $x$ p.m. there are 12 hours. (For example, between 10 a.m. and 10 p.m. there are 12 hours.)

Therefore, Gail works for 12 hours on Saturday.

## Solution 2

From $x$ a.m. until 12 noon, the number of hours which Gail works is $12-x$.

From 12 noon until $x$ p.m., she works $x$ hours.

Thus, the total number of hours that Gail works is $(12-x)+x=12$.

ANSWER: (E)