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?
Before Grace starts rowing Will has rowed 45 * 50 = 2250 m
So the distance between them before Grace starts rowing is 2800 - 2250 = 550 m
When Grace starts rowing, the number of minutes until they meet is
550 / (50 + 30) = 550 / 80 = 55/ 8 = 6.875 = 6 + .875 (60) = 6 min 52.5 sec
So....they meet at 2:45 + 6 min 52.5 sec = 2:51 and 52.5 sec