Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ 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 $2{:}45$ p.m. If they always row directly towards each other, and the lake is $2800$ meters across from the west side of the lake to the east side, at what time will the two meet?
Will has covered 45 minutes worth of lake distance
45 min * 50 m/min = 2250 m meters before Grace starts ....so there is only 2800 - 2250 = 550 meters to cover before they meet
their closing rate is (50 + 30 ) = 80 m/min
distance / rate = time
550 m / 80 m/min = 6 7/8 minutes they will meet after Gracie starts
which would be 2:45 + 6 7/8 = 2:51 and 7/8 = 2:51 and 52.5 seconds (almost 2:52 pm)