#### Answer

15.0 min of arc.

#### Work Step by Step

The earth completes $360^{\circ}$ rotation in 24 hours, i.e., (360$\times$60) angular minutes in (24$\times$60) minutes.
Since earth can rotate 21600 angular minutes in 1440 minutes,
Minutes of arc rotated per minute=$\frac{21600}{1440}\,min\,of\,arc=15.0\,min\,of\,arc$