Terry and Tao are canoeing on a lake that is 2000 meters across from the west side of the lake to the east side. Terry rows at 60 meters per minute and Tao rows at 40 meters per minute. Terry starts rowing at 2 PM from the west end of the lake, and Tao starts rowing from the east end of the lake at 2:05 PM. If they always row directly towards each other, at what time will the two meet?
+128408 Let T be the number of minutes after 2PM
Terry rows for T minutes at 60m /min
Tao rows for T - 5 minutes at 40m/min
And Rate * Time = Distance
So
Distance that Terry rows + Distance that Tao rows = 2000 m
60T + 40 (T - 5) = 2000
60T + 40T - 200 = 2000
100T - 200 = 2000
100T = 2000 + 200
100T = 2200
T = 2200 / 100 = 22 minutes
They meet at 2:22 PM
