AMC 10B 2015 Problem 13

The line 12 x+5 y=60 forms a triangle with the coordinate axes. What is the sum of the lengths of the altitudes of this triangle?

Answer Choices
A. 20
B. \dfrac{360}{17}
C. \dfrac{107}{5}
D. \dfrac{43}{2}
E. \dfrac{281}{13}