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

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) (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) (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:
Time it takes to travel UPSTREAM:
We then get the following TIME equation:
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 =
It's that easy....nothing complex!!
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