SOLUTION: A paddle boat can move at a speed of 6km/h in still water. The boat is paddled 16 km downstream in a river in the same time it takes to go 8 km upstream. What is the speed of the r

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Question 1057070: A paddle boat can move at a speed of 6km/h in still water. The boat is paddled 16 km downstream in a river in the same time it takes to go 8 km upstream. What is the speed of the river?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is the same form or type as the one done here:
https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1057002.html

The only changes are in the values assigned for variables. Otherwise, the same type and form.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

A paddle boat can move at a speed of 6km/h in still water. The boat is paddled 16 km downstream in a river in the same time it takes to go 8 km upstream. What is the speed of the river?
Let speed of river be S

Time it takes to travel DOWNSTREAM: 16%2F%286+%2B+S%29 

Time it takes to travel UPSTREAM: 8%2F%286+-+S%29

We then get the following TIME equation: 16%2F%286+%2B+S%29+=+8%2F%286+-+S%29

8(6 + S) = 16(6 - S) ----- Cross-multiplying

6 + S = 2(6 - S) --------- Dividing each side by GCF, 8

6 + S = 12 - 2S

S + 2S = 12 - 6

3S = 6

S, or speed of river = highlight_green%28matrix%281%2C4%2C+6%2F3%2C+or%2C+2%2C+mph%29%29

It's that easy....nothing complex!!