Boat 1 and boat 2, traveling at constant speeds but not necessarily the same speed, depart at the same time from docks A and C, respectively, on the banks of a man-made circular lake. If they go straight to docks D and B, respectively, they will collide. Prove that if boat 1 goes straight to dock B instead and boat 2 goes straight to dock D, then they arrive at their destinations simultaneously. (Hint: Remember that D = RT.)
Picture of problem and work I have done so far: gyazo(DOT)com/554696b4f207f8cee425ce84d3200116
I got the triangles similar and am now absolutely lost on what to do.
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