SOLUTION: A river flows at 2 m/s. What is the speed through the water of the boat that can go twice as fast downstream as upstream?

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Question 772699: A river flows at 2 m/s. What is the speed through the water of the boat that can go twice as fast downstream as upstream?
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the speed of the boat
in still water ( no current )
= speed of boat going downstream
= speed of boat going upstream
-----------------
given:



6 m/s is the speed of the boat without current

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
A data table is not necessary and would be adding more details than we can use.
r = speed of boat if in still water
2 m/s = the given speed of the river's current

r+2 = downstream speed for boat in river
r-2 = upstream speed for boat in river

"twice as fast downstream as upstream":
Means that downstream speed is 2 times the upstream speed.

Algebra steps:





, the boat in non-moving water.

Actually, the "speed through the water of the boat" in the two directions are these:
UPSTREAM,
DOWNSTREAM,

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