a boat traveled 432 miles each way downstream and back.the trip downstream took 12 hours and the trip back took 24 hours. Find the speed of the boat in still water and the speed of the current.

Answer 1

So, the current adds to or subtracts from the speed in still water. If my boat can go 20 mph and the current is 5 mph, I'd travel 25 mph downstream and 15 mph upstream.

d = rt

432 = 12(b + c)

432 = 24(b - c)

36 = b + c

18 = b - c

2b = 54

b = 27 mph

36 = 27 + c

c = 9 mph