SOLUTION: A paddle boat can move at a speed of 2 ​km/h in still water. The boat is paddled 14 km downstream in a river in the same time it takes to go 7 km upstream. What is the sp

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Question 1056020: A paddle boat can move at a speed of 2 ​km/h in still water. The boat is paddled 14

km downstream in a river in the same time it takes to go 7 km upstream. What is the speed of the​ river?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!

                  SPEED      TIME     DISTANCE
DOWNSTREAM         r+c        t        d
UPSTREAM           r-c        t        u














Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

A paddle boat can move at a speed of 2 ​km/h in still water. The boat is paddled 14

km downstream in a river in the same time it takes to go 7 km upstream. What is the speed of the​ river?
Let speed of the current be C
We then get:
14(2 - C) = 7(2 + C) ------- Cross-multiplying
28 – 14C = 14 + 7C
– 14C – 7C = 14 – 28
– 21C = - 14
C, or rate of current =
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