A road crew painted two black lines across a road as shown in the figure above, to mark the start and end of a 1-mile stretch. Between the two black lines, they will paint across the road a red line at each third of a mile, a white line at each fifth of a mile, and a blue line at each eighth of a mile. What is the smallest distance (in miles) between any of the painted lines on this stretch of highway?

(A) 0
(B) 1/120
(C) 1/60
(D) 1/40
(E) 1/30

Answer: D

Source: Manhattan GMAT