(a) The second hand goes all the way around once (moves 360 degrees) in 1 minute 
(60 seconds), so it travels at speed v = 360/60 = 6 deg/s.

The minute hand goes around once in one hour (60 * 60 = 3600 s),
so it travels at v = 360/3600 = 0.1 deg/s.

The hour hand goes around once in twelve hours (12 * 3600 = 43200 s),
so it travels at v = 360/43200 = 0.0083 deg/s.

(b) The tip of the hour hand travels a circle with circumference
C = 2?r = 2 * 3.14 * 0.1 m = 0.628 m, and it makes that circuit in
twelve hours = 12 * 3600 = 43200 s.  So its linear velocity is

v = 0.628/43200 = 0.0000145 m/s

In other units, one mile is about 1600 m and one hour is 3600 s, so

v = (0.0000145 m/s) * (3600 s/hr) / (1600 m/mi) = 0.000033 miles/hr.

Not very fast... but it gets there, day after day, night after night.