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 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?
D = Rate • Time DWILL + DGRACE = 2800 m
(50) (T) + (30) (T – 45) = 2800
50T + 30T – 1350 = 2800 m
80T = 4150
T = 51.875 min note that 0.875 • 60 = 43.75 call it 44
2:00 + (51 min 44 sec) = 2:52 & 44 sec P.M.
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