AMC 8 2015 Problem 3

Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of $10$ miles per hour. Jack walks to the pool at a constant speed of $4$ miles per hour. How many minutes before Jack does Jill arrive? $\textbf{(A) }5 \textbf{(B) }6 \textbf{(C) }8 \textbf{(D) }9 \textbf{(E) }10$