+1042 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?
+3315
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 will row for x number of minutes
Grace will row for (x – 45) minutes
[ (50 m/min) • x min ] + [(30 m/min) • (x – 45 min)] = 2800 m
50x + 30x – 1350 = 2800
80x = 4150
x = 51.875 note that 0.875 min = 52.5 sec
So the time they meet is 2:51:52 pm
