SOLUTION: A rowing team rowing with the current traveled 20 kn in 2 hrs. Rowing against the current, the team rowed 12 kn in the same amount of time. Find the rate of the team in calm water

Algebra ->  Equations -> SOLUTION: A rowing team rowing with the current traveled 20 kn in 2 hrs. Rowing against the current, the team rowed 12 kn in the same amount of time. Find the rate of the team in calm water       Log On


   

Question 164422: A rowing team rowing with the current traveled 20 kn in 2 hrs. Rowing against the current, the team rowed 12 kn in the same amount of time. Find the rate of the team in calm water and the rate of the current.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="rate of team" and y="rate of current" __ d=rt

"A rowing team rowing with the current traveled 20 kn in 2 hrs" __ 20=2(x+y) __ 10=x+y

"Rowing against the current, the team rowed 12 kn in the same amount of time" __ 12=2(x-y) __ 6=x-y

adding equations __ 10+6=x+y+x-y __ 16=2x __ 8=x

substituting __ 10=8+y __ 2=y