# Problem 30 answer

Place the slower boat initially at the origin of a coordinate
plane, and equate "north" with the positive y-axis, and east with
the positive x-axis.
x = 75 * [ 1/5*(y/50)^{5/3} - (y/50)^{1/3} ] + 60

It takes 3 hours for the chasing boat to catch the other boat.

Michael Shackleford, A.S.A.