Will and Grace are canoeing on a lake that is $2350$ meters across from the west side of the lake to the east side. Will rows at $50$ meters per minute and Grace rows at $10$ meters per minute. Will starts rowing at 2 PM from the west end of the lake, and Grace starts rowing from the east end of the lake at 2:05 PM. If they always row directly towards each other, at what time will the two meet?
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