SOLUTION: Sammy paddles 24 miles downstream in 2 hours and he make the return trip in 3 hours. Find Sammy's paddling speed in still water and the speed of the current.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Sammy paddles 24 miles downstream in 2 hours and he make the return trip in 3 hours. Find Sammy's paddling speed in still water and the speed of the current.      Log On


   

Question 422299: Sammy paddles 24 miles downstream in 2 hours and he make the return trip in 3 hours. Find Sammy's paddling speed in still water and the speed of the current.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Sammy paddles 24 miles downstream in 2 hours and he make the return trip in 3 hours.

Let x and c represent speed in still water and the speed of the current

Question states*** Note: rate = D/t

 x + c = 12mph   (24mi/2hr)

 x - c =  8mph   (24mi/3hr)

   2x = 20mph

    x = 10mph, speed in still water and the speed of the current is 2mph



CHECKING our Answer***

   2*(x+c) = 2*12mph = 24mi