Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $20$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2:05$ p.m. If they always row directly towards each other, and the lake is $3400$ meters across from the west side of the lake to the east side, at what time will the two meet?