Buster leaves the trailer at noon and walks towards the studio at a constant rate of $B$ miles per hour. $20$ minute

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.

Answer: B

Source: GMAT Club Tests

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