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

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) (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
RELATED QUESTIONS
a rowing team rowing with the current, traveled 40km in 2 hrs. rowing against the current (answered by mananth)

A rowing team rowing with the current traveled 12 km in 2 h. Rowing against the current,... (answered by josgarithmetic,ikleyn)

A rowing team rowing with the current traveled 40 km in 4 h. Rowing against the current,... (answered by mananth)

A rowing team rowed with the current for 2 hours and travelled 40 Km. Rowing... (answered by Alan3354)

A rowing team rowed an average of 17.2 miles per hour with the current and 9.6 miles per... (answered by Alan3354)

a rowing team rowed an average of 15.8 miles per hour with the current and 9.4 miles per... (answered by lwsshak3)

The Heart O'Texas Rowing Team, while practicing in Austin, Texas, rowed an average of... (answered by josgarithmetic)

The rowing team rowed an average of 15.6 mph with the current and 8.8 against he current... (answered by ikleyn)

A rowing team rowing with the current travelled 24 km in 3 hours. Against the current,... (answered by ankor@dixie-net.com)