Bunuel wrote:
Buster leaves the trailer at noon and walks towards the studio at a constant rate of B miles per hour. 20 minutes later, Charlie leaves the same studio and walks towards the same trailer at a constant rate of C miles per hour along the same route as Buster. Will Buster be closer to the trailer than to the studio when he passes Charlie?
(1) Charlie gets to the trailer in 55 minutes.
(2) Buster gets to the studio at the same time as Charlie gets to the trailer.
One thought that helped me for statement (2), was figuring out extreme cases.
If B covers almost the whole distance in 20 minutes (C has to be super fast then), B will stand pretty much in front of the door of the studio and will meet C definitely closer to the studio.
But if B covers an infinitesimal small fraction of the distance (C has to be only a little faster than B), they will meet pretty much at exactly halfway between the trailer and the studio.
So technically, they will always meet at a point closer to the studio than to the trailer. But this difference between the point halfway between the studios and the point where they meet, approaches 0 as the total distance between trailer and studio approaches infinity.