Mock AMC 8 #1 - Problem 18

An analog clock with standard hour, minute, and second hands currently reads 3:40:00. What is the difference between the largest and smallest possible angles formed by any two hands, if these angles are both between 0 ^\circ and 360^\circ?

(\textbf{A})\;120^\circ\quad(\textbf{B})\;50^\circ\quad(\textbf{C})\;140^\circ\quad(\textbf{D})\;130^\circ\quad(\textbf{E})\;100^\circ