Katie passed a milestone on a highway while traveling back to her home at a constant speed of 50 miles per hour. Fifteen minutes later, Jack passed the same milestone traveling at a constant speed of 60 miles per hour while going in the same direction that Katie is going. If both Katie and Jack maintained their speeds and both remained on the highway, how long, in minutes, after Jack passed the milestone did the distance between Jack and Katie equal 10 miles?

Indicate all possible answers.


(A) 10
(B) 15
(C) 60
(D) 135
(E) 150