Nicholas paddles his canoe downstream from the lodge to big bend in 3 hours and then back upstream to the lodge in 6 hrs. If the distance from the lodge to big bend is 15 miles, find Nicholas’s speed in still water and the speed of the current.
Let his speed in still water be s and the current c. Then: 15/s+c=3 and 15/s-c=6 Then: 3s+3c=15 and 6s-6c=15 So 6s+6c=30 6s-6c=15 12s=45 s=45/12=3.75 c=1.25 Nicholas's speed is 3.75 mph; the current's speed is 1.25 mph ☺☺☺☺
