Three runners A, B, and C start running simultaneously from the same point on a circular track of length $1200 \text{ m}$ in the same direction at speeds of $10 \text{ m/s}$, $20 \text{ m/s}$, and $30 \text{ m/s}$ respectively. After how much time will they meet for the first time on the track?
Options:
- A: $40 \text{ s}$
- B: $60 \text{ s}$
- C: $120 \text{ s}$
- D: $240 \text{ s}$
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